Motor that has at least 50in-lbs of torque and 200RPM
What do I have to search for?


"Gearmotor" or "gear motor" are the most likely search terms. Products like the one pictured are made in huge quantities and are made with gear motors that are likely either designed and built by the product manufacturer or designed and manufactured under contract with them by another company. There are relatively few gear motors like that available to individual buyers.

If you only need one or a few motors, buying the product for the motor may be the best option. If you need a few more and have already purchased that item and taken it apart, try to figure out if the motor was manufactured by another company, try searching using that company name. You may that someone is selling some excess stock of that company.

You may be able to find a small reduction gear to mate up to a high-speed motor, but that seems unlikely. Sometimes reduction gears are constructed inside the housing of a product like the one pictured. You might be able to do that, but you should compare what is required to do that with purchasing the pictured product.


  Am I reading the specs wrong?


Possibly yes. If you look carefully, you will see that 200 RPM is the no-load speed. I didn't see what speed corresponds to 44 in.-lbs. of torque, but it is probably not close to 200 RPM and possibly closer to stall than 200 RPM.