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Finding the Third Proportional to 54,542.25 and 80,016.75

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Solution

The third proportional to 54,542.25 and 80,016.75 is: 117,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.25 : 80,016.75 = 80,016.75 : x
  2. Step 2: Convert to fraction form
    54,542.25/80,016.75 = 80,016.75/x
  3. Step 3: Cross multiply
    54,542.25x = 80,016.75 × 80,016.75
  4. Step 4: Simplify right side
    54,542.25x = 6,402,680,280.56
  5. Step 5: Solve for x
    x = 6,402,680,280.56/54,542.25
  6. Step 6: Final answer
    x = 117,389.37

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Why These Related Problems?

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