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Finding the Third Proportional to 67.72 and 104.12

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Solution

The third proportional to 67.72 and 104.12 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.72 : 104.12 = 104.12 : x
  2. Step 2: Convert to fraction form
    67.72/104.12 = 104.12/x
  3. Step 3: Cross multiply
    67.72x = 104.12 × 104.12
  4. Step 4: Simplify right side
    67.72x = 10,839.98
  5. Step 5: Solve for x
    x = 10,839.98/67.72
  6. Step 6: Final answer
    x = 160.06

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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.