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Finding the Third Proportional to 126,676 and 267,656

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Solution

The third proportional to 126,676 and 267,656 is: 565,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,676 : 267,656 = 267,656 : x
  2. Step 2: Convert to fraction form
    126,676/267,656 = 267,656/x
  3. Step 3: Cross multiply
    126,676x = 267,656 × 267,656
  4. Step 4: Simplify right side
    126,676x = 71,639,734,336
  5. Step 5: Solve for x
    x = 71,639,734,336/126,676
  6. Step 6: Final answer
    x = 565,535.18

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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.