Prior to the advent of GPS, one of the most accurate and widely used navigation tools was LORAN.
LORAN (Long-Distance Radio Navigation) uses synchronized pulses sent out by pairs of transmitting stations. By calculating the difference in the times of arrival of the pulses from 2 stations, the LORAN equipment on a ship locates the ship along a hyperbola. By doing the same thing with a second pair of stations, LORAN locates the ship at the intersection of 2 hyperbolas.
LORAN is not often used today, although the system is still functioning as a backup.
Hyperbolas are the most complex and mysterious of the four conic sections, and to find this cache you will have to find the intersection of the two hypberolas described, as if you were using LORAN. There are actually four intersections, but only one will complete the coordinates in a way that makes sense.
The coordinates are N 41 39.XXX and W 72 38.YYY
Hyperbola 1 is centered at (-1, 829). Its foci are located at (-5.123, 829) and (3.123, 829). Everywhere along the hyperbola, the difference between the distances to the two foci is always 8.
Hyperbola 2 is centered at (99, -1021). Its foci are located at (99, -1007.252) and (99, -1034.748). Everywhere along the hyperbola, the difference between the distances to the two foci is always 26.832.
When you find the cache area, you'll see that there are conic sections in practical use there. Perhaps some clever cachers will be able to find this cache based on that clue alone!
You can check your answers for this puzzle on Geochecker.com.