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Finding the Third Proportional to 54,291.38 and 81,864.14

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Solution

The third proportional to 54,291.38 and 81,864.14 is: 123,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,291.38 : 81,864.14 = 81,864.14 : x
  2. Step 2: Convert to fraction form
    54,291.38/81,864.14 = 81,864.14/x
  3. Step 3: Cross multiply
    54,291.38x = 81,864.14 × 81,864.14
  4. Step 4: Simplify right side
    54,291.38x = 6,701,737,520.27
  5. Step 5: Solve for x
    x = 6,701,737,520.27/54,291.38
  6. Step 6: Final answer
    x = 123,440.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.