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Finding the Third Proportional to 80.16 and 121.92

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Solution

The third proportional to 80.16 and 121.92 is: 185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 121.92 = 121.92 : x
  2. Step 2: Convert to fraction form
    80.16/121.92 = 121.92/x
  3. Step 3: Cross multiply
    80.16x = 121.92 × 121.92
  4. Step 4: Simplify right side
    80.16x = 14,864.94
  5. Step 5: Solve for x
    x = 14,864.94/80.16
  6. Step 6: Final answer
    x = 185.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.