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Finding the Third Proportional to 91.20 and 136.81

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Solution

The third proportional to 91.20 and 136.81 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.20 : 136.81 = 136.81 : x
  2. Step 2: Convert to fraction form
    91.20/136.81 = 136.81/x
  3. Step 3: Cross multiply
    91.20x = 136.81 × 136.81
  4. Step 4: Simplify right side
    91.20x = 18,715.92
  5. Step 5: Solve for x
    x = 18,715.92/91.20
  6. Step 6: Final answer
    x = 205.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.