1) As someone already stated, you likely have a volume or flow issue and not a pressure issue. It would be best to increase hose/pipe supply diameter or add a surge tank close to the machine.
2) Plumbing the two together could work but you need to see what the welded ASME tag states on the side of the pressure vessel. Some chinesium compressors do not have a welded tag, I will not use one, work on one, work around one or allow one on my property! In the unlikely event the 60 gallon pressure vessel would allow up to 200psi you still have a few obstacles to overcome before plumbing the two compressors together which include but are not limited to: The hardware connected to the 60 gallon tank not being designed for 200psi. The duty cycle of a "budget" oil-less compressor trying to fill 500% of its tank capacity.
The four hardware items that immediately come to mind on the larger compressor would be the pressure relief valve likely set at 150psi from the factory. The check valve between the compressor pump and the tank would likely be OK for a while at 200psi, but not designed for it. The diaphragm in the pressure cutoff switch may not be designed to handle that much pressure. Finally, the factory tank pressure gauge almost certainly wouldn't go to 200psi which would spring the bourdon tube.
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