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Finding the Third Proportional to 95.97 and 127.91

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Solution

The third proportional to 95.97 and 127.91 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.97 : 127.91 = 127.91 : x
  2. Step 2: Convert to fraction form
    95.97/127.91 = 127.91/x
  3. Step 3: Cross multiply
    95.97x = 127.91 × 127.91
  4. Step 4: Simplify right side
    95.97x = 16,360.01
  5. Step 5: Solve for x
    x = 16,360.01/95.97
  6. Step 6: Final answer
    x = 170.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.