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Finding the Third Proportional to 57.27 and 125.14

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Solution

The third proportional to 57.27 and 125.14 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.27 : 125.14 = 125.14 : x
  2. Step 2: Convert to fraction form
    57.27/125.14 = 125.14/x
  3. Step 3: Cross multiply
    57.27x = 125.14 × 125.14
  4. Step 4: Simplify right side
    57.27x = 15,659.69
  5. Step 5: Solve for x
    x = 15,659.69/57.27
  6. Step 6: Final answer
    x = 273.44

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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.