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Finding the Third Proportional to 132.75 and 145.97

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Solution

The third proportional to 132.75 and 145.97 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.75 : 145.97 = 145.97 : x
  2. Step 2: Convert to fraction form
    132.75/145.97 = 145.97/x
  3. Step 3: Cross multiply
    132.75x = 145.97 × 145.97
  4. Step 4: Simplify right side
    132.75x = 21,306.88
  5. Step 5: Solve for x
    x = 21,306.88/132.75
  6. Step 6: Final answer
    x = 160.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.