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Finding the Third Proportional to 81.75 and 103.88

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Solution

The third proportional to 81.75 and 103.88 is: 131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 103.88 = 103.88 : x
  2. Step 2: Convert to fraction form
    81.75/103.88 = 103.88/x
  3. Step 3: Cross multiply
    81.75x = 103.88 × 103.88
  4. Step 4: Simplify right side
    81.75x = 10,790.02
  5. Step 5: Solve for x
    x = 10,790.02/81.75
  6. Step 6: Final answer
    x = 131.99

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.