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Finding the Third Proportional to 126,881 and 275,626

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Solution

The third proportional to 126,881 and 275,626 is: 598,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,881 : 275,626 = 275,626 : x
  2. Step 2: Convert to fraction form
    126,881/275,626 = 275,626/x
  3. Step 3: Cross multiply
    126,881x = 275,626 × 275,626
  4. Step 4: Simplify right side
    126,881x = 75,969,691,876
  5. Step 5: Solve for x
    x = 75,969,691,876/126,881
  6. Step 6: Final answer
    x = 598,747.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.