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Finding the Third Proportional to 52,561 and 83,675

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Solution

The third proportional to 52,561 and 83,675 is: 133,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561 : 83,675 = 83,675 : x
  2. Step 2: Convert to fraction form
    52,561/83,675 = 83,675/x
  3. Step 3: Cross multiply
    52,561x = 83,675 × 83,675
  4. Step 4: Simplify right side
    52,561x = 7,001,505,625
  5. Step 5: Solve for x
    x = 7,001,505,625/52,561
  6. Step 6: Final answer
    x = 133,207.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.