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Finding the Third Proportional to 63,561 and 139,569

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Solution

The third proportional to 63,561 and 139,569 is: 306,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,561 : 139,569 = 139,569 : x
  2. Step 2: Convert to fraction form
    63,561/139,569 = 139,569/x
  3. Step 3: Cross multiply
    63,561x = 139,569 × 139,569
  4. Step 4: Simplify right side
    63,561x = 19,479,505,761
  5. Step 5: Solve for x
    x = 19,479,505,761/63,561
  6. Step 6: Final answer
    x = 306,469.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.