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Finding the Third Proportional to 61.38 and 85.99

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Solution

The third proportional to 61.38 and 85.99 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 85.99 = 85.99 : x
  2. Step 2: Convert to fraction form
    61.38/85.99 = 85.99/x
  3. Step 3: Cross multiply
    61.38x = 85.99 × 85.99
  4. Step 4: Simplify right side
    61.38x = 7,394.66
  5. Step 5: Solve for x
    x = 7,394.66/61.38
  6. Step 6: Final answer
    x = 120.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.