The term “60-watt equal” has little to do with any kind of wattage correlation; a 60W equal LED may use as little as 8 watts to operate. If your fixture is rated to accept 60 watts, you can safely use 75W, 100W, or even 125W equal bulbs (which all draw less than 50 watts of power) instead.
So, can I put a low watt bulb in a high watt lamp?
The watt rating on a socket is the maximum wattage (based on using an incandescent bulb) that can be used without overheating and potentially causing damage or even a fire. So a socket rated at 60W may have a 60W or lower incandescent bulb in it. So if a light fixture or socket is rated at 60W max incandescent.