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Finding the Third Proportional to 95.91 and 151.92

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Solution

The third proportional to 95.91 and 151.92 is: 240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.91 : 151.92 = 151.92 : x
  2. Step 2: Convert to fraction form
    95.91/151.92 = 151.92/x
  3. Step 3: Cross multiply
    95.91x = 151.92 × 151.92
  4. Step 4: Simplify right side
    95.91x = 23,080.26
  5. Step 5: Solve for x
    x = 23,080.26/95.91
  6. Step 6: Final answer
    x = 240.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.