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Finding the Third Proportional to 67.92 and 113.84

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Solution

The third proportional to 67.92 and 113.84 is: 190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 113.84 = 113.84 : x
  2. Step 2: Convert to fraction form
    67.92/113.84 = 113.84/x
  3. Step 3: Cross multiply
    67.92x = 113.84 × 113.84
  4. Step 4: Simplify right side
    67.92x = 12,958.62
  5. Step 5: Solve for x
    x = 12,958.62/67.92
  6. Step 6: Final answer
    x = 190.79

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.