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Finding the Third Proportional to 62,732 and 137,938

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Solution

The third proportional to 62,732 and 137,938 is: 303,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,732 : 137,938 = 137,938 : x
  2. Step 2: Convert to fraction form
    62,732/137,938 = 137,938/x
  3. Step 3: Cross multiply
    62,732x = 137,938 × 137,938
  4. Step 4: Simplify right side
    62,732x = 19,026,891,844
  5. Step 5: Solve for x
    x = 19,026,891,844/62,732
  6. Step 6: Final answer
    x = 303,304.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.