This is a problem with an electrical connection. Something is loose in the ignition system. Possibly a bad ground or a loose one. Start at the battery, onto the starter motor and solenoid. Make sure all the grounds are clean and tight. Very likely corrosion on one of the terminals.
You can also remove the steering column panels just behind the steering wheel and check the ignition leads making sure there is nothing loose.
You can also remove the steering column panels just behind the steering wheel and check the ignition leads making sure there is nothing loose.
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