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Finding the Third Proportional to 50,002 and 108,772

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Solution

The third proportional to 50,002 and 108,772 is: 236,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002 : 108,772 = 108,772 : x
  2. Step 2: Convert to fraction form
    50,002/108,772 = 108,772/x
  3. Step 3: Cross multiply
    50,002x = 108,772 × 108,772
  4. Step 4: Simplify right side
    50,002x = 11,831,347,984
  5. Step 5: Solve for x
    x = 11,831,347,984/50,002
  6. Step 6: Final answer
    x = 236,617.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.