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Finding the Third Proportional to 55,780.31 and 84,979.13

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Solution

The third proportional to 55,780.31 and 84,979.13 is: 129,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,780.31 : 84,979.13 = 84,979.13 : x
  2. Step 2: Convert to fraction form
    55,780.31/84,979.13 = 84,979.13/x
  3. Step 3: Cross multiply
    55,780.31x = 84,979.13 × 84,979.13
  4. Step 4: Simplify right side
    55,780.31x = 7,221,451,685.77
  5. Step 5: Solve for x
    x = 7,221,451,685.77/55,780.31
  6. Step 6: Final answer
    x = 129,462.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.