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Finding the Third Proportional to 126.16 and 267.62

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Solution

The third proportional to 126.16 and 267.62 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 267.62 = 267.62 : x
  2. Step 2: Convert to fraction form
    126.16/267.62 = 267.62/x
  3. Step 3: Cross multiply
    126.16x = 267.62 × 267.62
  4. Step 4: Simplify right side
    126.16x = 71,621.05
  5. Step 5: Solve for x
    x = 71,621.05/126.16
  6. Step 6: Final answer
    x = 567.68

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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.