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Finding the Third Proportional to 110.97 and 158.91

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Solution

The third proportional to 110.97 and 158.91 is: 227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 158.91 = 158.91 : x
  2. Step 2: Convert to fraction form
    110.97/158.91 = 158.91/x
  3. Step 3: Cross multiply
    110.97x = 158.91 × 158.91
  4. Step 4: Simplify right side
    110.97x = 25,251.20
  5. Step 5: Solve for x
    x = 25,251.20/110.97
  6. Step 6: Final answer
    x = 227.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.