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Finding the Third Proportional to 63,561 and 135,564

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Solution

The third proportional to 63,561 and 135,564 is: 289,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,561 : 135,564 = 135,564 : x
  2. Step 2: Convert to fraction form
    63,561/135,564 = 135,564/x
  3. Step 3: Cross multiply
    63,561x = 135,564 × 135,564
  4. Step 4: Simplify right side
    63,561x = 18,377,598,096
  5. Step 5: Solve for x
    x = 18,377,598,096/63,561
  6. Step 6: Final answer
    x = 289,133.24

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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.