Take the bounding box of NYC:
(-74.259090, 40.477399) - (-73.700181, 40.916179)
Add/subtract 3 degrees in each direction

Intersect with the 100 mile file:
Contains 8 points
Makes 161 request
Containing 15748 items
And 8089 distinct items
That's 51.36 % distinct rate
Or 48.63 % duplicate rate