Yup.
Scotty discussed the shape of the torque speed curve (useful in #3 below)
Lionel gave the direct answer
To op:
1 - Motor output torque must match load torque during steady state (otherwise it would not be steady state)
2 - Motor output power is the product of motor output torque and speed (this is a mechanical first principle)
3 - For an induction motor fed with fixed-frequency, motor speed changes very little (as a fraction) from no-load to full load (5% max slip at rated load for NEMA Design B, usually much less).... you can see this from the steep slope of Scotty's torque-speed curve between rated speed and sync speed.
4 - Putting above together (since power is proportional to torque times speed and speed is roughly constant), torque is roughly proportional to motor output power (for a fixed-frequency induction motor)
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(2B)+(2B)' ?