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Finding the Third Proportional to 67.92 and 96.12

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Solution

The third proportional to 67.92 and 96.12 is: 136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 96.12 = 96.12 : x
  2. Step 2: Convert to fraction form
    67.92/96.12 = 96.12/x
  3. Step 3: Cross multiply
    67.92x = 96.12 × 96.12
  4. Step 4: Simplify right side
    67.92x = 9,238.51
  5. Step 5: Solve for x
    x = 9,238.51/67.92
  6. Step 6: Final answer
    x = 136.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.