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Finding the Third Proportional to 63,524 and 135,486

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Solution

The third proportional to 63,524 and 135,486 is: 288,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,524 : 135,486 = 135,486 : x
  2. Step 2: Convert to fraction form
    63,524/135,486 = 135,486/x
  3. Step 3: Cross multiply
    63,524x = 135,486 × 135,486
  4. Step 4: Simplify right side
    63,524x = 18,356,456,196
  5. Step 5: Solve for x
    x = 18,356,456,196/63,524
  6. Step 6: Final answer
    x = 288,968.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.