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Finding the Third Proportional to 91.41 and 132.75

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Solution

The third proportional to 91.41 and 132.75 is: 192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.41 : 132.75 = 132.75 : x
  2. Step 2: Convert to fraction form
    91.41/132.75 = 132.75/x
  3. Step 3: Cross multiply
    91.41x = 132.75 × 132.75
  4. Step 4: Simplify right side
    91.41x = 17,622.56
  5. Step 5: Solve for x
    x = 17,622.56/91.41
  6. Step 6: Final answer
    x = 192.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.