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Finding the Third Proportional to 81.13 and 93.50

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Solution

The third proportional to 81.13 and 93.50 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.13 : 93.50 = 93.50 : x
  2. Step 2: Convert to fraction form
    81.13/93.50 = 93.50/x
  3. Step 3: Cross multiply
    81.13x = 93.50 × 93.50
  4. Step 4: Simplify right side
    81.13x = 8,742.25
  5. Step 5: Solve for x
    x = 8,742.25/81.13
  6. Step 6: Final answer
    x = 107.76

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.