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Finding the Third Proportional to 62,853.75 and 135,542.25

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Solution

The third proportional to 62,853.75 and 135,542.25 is: 292,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,853.75 : 135,542.25 = 135,542.25 : x
  2. Step 2: Convert to fraction form
    62,853.75/135,542.25 = 135,542.25/x
  3. Step 3: Cross multiply
    62,853.75x = 135,542.25 × 135,542.25
  4. Step 4: Simplify right side
    62,853.75x = 18,371,701,535.06
  5. Step 5: Solve for x
    x = 18,371,701,535.06/62,853.75
  6. Step 6: Final answer
    x = 292,292.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.