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Finding the Third Proportional to 54,542 and 80,016

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Solution

The third proportional to 54,542 and 80,016 is: 117,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542 : 80,016 = 80,016 : x
  2. Step 2: Convert to fraction form
    54,542/80,016 = 80,016/x
  3. Step 3: Cross multiply
    54,542x = 80,016 × 80,016
  4. Step 4: Simplify right side
    54,542x = 6,402,560,256
  5. Step 5: Solve for x
    x = 6,402,560,256/54,542
  6. Step 6: Final answer
    x = 117,387.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.