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Finding the Third Proportional to 57.66 and 126.14

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Solution

The third proportional to 57.66 and 126.14 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 126.14 = 126.14 : x
  2. Step 2: Convert to fraction form
    57.66/126.14 = 126.14/x
  3. Step 3: Cross multiply
    57.66x = 126.14 × 126.14
  4. Step 4: Simplify right side
    57.66x = 15,911.46
  5. Step 5: Solve for x
    x = 15,911.46/57.66
  6. Step 6: Final answer
    x = 275.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.