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Finding the Third Proportional to 71,384 and 93,892

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Solution

The third proportional to 71,384 and 93,892 is: 123,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384 : 93,892 = 93,892 : x
  2. Step 2: Convert to fraction form
    71,384/93,892 = 93,892/x
  3. Step 3: Cross multiply
    71,384x = 93,892 × 93,892
  4. Step 4: Simplify right side
    71,384x = 8,815,707,664
  5. Step 5: Solve for x
    x = 8,815,707,664/71,384
  6. Step 6: Final answer
    x = 123,496.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.