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Finding the Third Proportional to 63,523 and 135,481

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Solution

The third proportional to 63,523 and 135,481 is: 288,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,523 : 135,481 = 135,481 : x
  2. Step 2: Convert to fraction form
    63,523/135,481 = 135,481/x
  3. Step 3: Cross multiply
    63,523x = 135,481 × 135,481
  4. Step 4: Simplify right side
    63,523x = 18,355,101,361
  5. Step 5: Solve for x
    x = 18,355,101,361/63,523
  6. Step 6: Final answer
    x = 288,952.05

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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.