No processor/socket has a specific size fan. It's all relative to the heatsync and what's on there. I've had an 80mm fan on a SocketA heatsync before, and there are some newer ones with NO fan...
Also, they never made a Socket7 Pent III, just Pentiums. Then it went to Slot1 with the PII, then a few PIII's where Slot one, but newer ones were socket 370.