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Finding the Third Proportional to 42,552 and 67,348

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Solution

The third proportional to 42,552 and 67,348 is: 106,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 67,348 = 67,348 : x
  2. Step 2: Convert to fraction form
    42,552/67,348 = 67,348/x
  3. Step 3: Cross multiply
    42,552x = 67,348 × 67,348
  4. Step 4: Simplify right side
    42,552x = 4,535,753,104
  5. Step 5: Solve for x
    x = 4,535,753,104/42,552
  6. Step 6: Final answer
    x = 106,593.18

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.