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Finding the Third Proportional to 57.66 and 108.14

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Solution

The third proportional to 57.66 and 108.14 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 108.14 = 108.14 : x
  2. Step 2: Convert to fraction form
    57.66/108.14 = 108.14/x
  3. Step 3: Cross multiply
    57.66x = 108.14 × 108.14
  4. Step 4: Simplify right side
    57.66x = 11,694.39
  5. Step 5: Solve for x
    x = 11,694.39/57.66
  6. Step 6: Final answer
    x = 202.83

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.