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Finding the Third Proportional to 51.97 and 113.91

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Solution

The third proportional to 51.97 and 113.91 is: 249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 113.91 = 113.91 : x
  2. Step 2: Convert to fraction form
    51.97/113.91 = 113.91/x
  3. Step 3: Cross multiply
    51.97x = 113.91 × 113.91
  4. Step 4: Simplify right side
    51.97x = 12,974.63
  5. Step 5: Solve for x
    x = 12,974.63/51.97
  6. Step 6: Final answer
    x = 249.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.