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Finding the Third Proportional to 126.24 and 267.76

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Solution

The third proportional to 126.24 and 267.76 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.24 : 267.76 = 267.76 : x
  2. Step 2: Convert to fraction form
    126.24/267.76 = 267.76/x
  3. Step 3: Cross multiply
    126.24x = 267.76 × 267.76
  4. Step 4: Simplify right side
    126.24x = 71,694.77
  5. Step 5: Solve for x
    x = 71,694.77/126.24
  6. Step 6: Final answer
    x = 567.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.