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Finding the Third Proportional to 113.91 and 175.92

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Solution

The third proportional to 113.91 and 175.92 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 175.92 = 175.92 : x
  2. Step 2: Convert to fraction form
    113.91/175.92 = 175.92/x
  3. Step 3: Cross multiply
    113.91x = 175.92 × 175.92
  4. Step 4: Simplify right side
    113.91x = 30,948.51
  5. Step 5: Solve for x
    x = 30,948.51/113.91
  6. Step 6: Final answer
    x = 271.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.