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Finding the Third Proportional to 126,807 and 267,759

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Solution

The third proportional to 126,807 and 267,759 is: 565,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,807 : 267,759 = 267,759 : x
  2. Step 2: Convert to fraction form
    126,807/267,759 = 267,759/x
  3. Step 3: Cross multiply
    126,807x = 267,759 × 267,759
  4. Step 4: Simplify right side
    126,807x = 71,694,882,081
  5. Step 5: Solve for x
    x = 71,694,882,081/126,807
  6. Step 6: Final answer
    x = 565,385.84

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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.