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Finding the Third Proportional to 61.13 and 85.97

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Solution

The third proportional to 61.13 and 85.97 is: 120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 85.97 = 85.97 : x
  2. Step 2: Convert to fraction form
    61.13/85.97 = 85.97/x
  3. Step 3: Cross multiply
    61.13x = 85.97 × 85.97
  4. Step 4: Simplify right side
    61.13x = 7,390.63
  5. Step 5: Solve for x
    x = 7,390.63/61.13
  6. Step 6: Final answer
    x = 120.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.