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Finding the Third Proportional to 63,560 and 135,337

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Solution

The third proportional to 63,560 and 135,337 is: 288,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,560 : 135,337 = 135,337 : x
  2. Step 2: Convert to fraction form
    63,560/135,337 = 135,337/x
  3. Step 3: Cross multiply
    63,560x = 135,337 × 135,337
  4. Step 4: Simplify right side
    63,560x = 18,316,103,569
  5. Step 5: Solve for x
    x = 18,316,103,569/63,560
  6. Step 6: Final answer
    x = 288,170.29

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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.