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Finding the Third Proportional to 81 and 106.75

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Solution

The third proportional to 81 and 106.75 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 106.75 = 106.75 : x
  2. Step 2: Convert to fraction form
    81/106.75 = 106.75/x
  3. Step 3: Cross multiply
    81x = 106.75 × 106.75
  4. Step 4: Simplify right side
    81x = 11,395.56
  5. Step 5: Solve for x
    x = 11,395.56/81
  6. Step 6: Final answer
    x = 140.69

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.