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Finding the Third Proportional to 54,387 and 84,042

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Solution

The third proportional to 54,387 and 84,042 is: 129,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,387 : 84,042 = 84,042 : x
  2. Step 2: Convert to fraction form
    54,387/84,042 = 84,042/x
  3. Step 3: Cross multiply
    54,387x = 84,042 × 84,042
  4. Step 4: Simplify right side
    54,387x = 7,063,057,764
  5. Step 5: Solve for x
    x = 7,063,057,764/54,387
  6. Step 6: Final answer
    x = 129,866.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.