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Finding the Third Proportional to 126,837 and 267,812

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Solution

The third proportional to 126,837 and 267,812 is: 565,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,837 : 267,812 = 267,812 : x
  2. Step 2: Convert to fraction form
    126,837/267,812 = 267,812/x
  3. Step 3: Cross multiply
    126,837x = 267,812 × 267,812
  4. Step 4: Simplify right side
    126,837x = 71,723,267,344
  5. Step 5: Solve for x
    x = 71,723,267,344/126,837
  6. Step 6: Final answer
    x = 565,475.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.