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Finding the Third Proportional to 61.13 and 101.25

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Solution

The third proportional to 61.13 and 101.25 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 101.25 = 101.25 : x
  2. Step 2: Convert to fraction form
    61.13/101.25 = 101.25/x
  3. Step 3: Cross multiply
    61.13x = 101.25 × 101.25
  4. Step 4: Simplify right side
    61.13x = 10,251.56
  5. Step 5: Solve for x
    x = 10,251.56/61.13
  6. Step 6: Final answer
    x = 167.71

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.