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Finding the Third Proportional to 126,752 and 267,758

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Solution

The third proportional to 126,752 and 267,758 is: 565,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,752 : 267,758 = 267,758 : x
  2. Step 2: Convert to fraction form
    126,752/267,758 = 267,758/x
  3. Step 3: Cross multiply
    126,752x = 267,758 × 267,758
  4. Step 4: Simplify right side
    126,752x = 71,694,346,564
  5. Step 5: Solve for x
    x = 71,694,346,564/126,752
  6. Step 6: Final answer
    x = 565,626.95

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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.