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Finding the Third Proportional to 126,792 and 267,732

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Solution

The third proportional to 126,792 and 267,732 is: 565,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,792 : 267,732 = 267,732 : x
  2. Step 2: Convert to fraction form
    126,792/267,732 = 267,732/x
  3. Step 3: Cross multiply
    126,792x = 267,732 × 267,732
  4. Step 4: Simplify right side
    126,792x = 71,680,423,824
  5. Step 5: Solve for x
    x = 71,680,423,824/126,792
  6. Step 6: Final answer
    x = 565,338.70

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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.