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Finding the Third Proportional to 80.62 and 111.33

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Solution

The third proportional to 80.62 and 111.33 is: 153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.62 : 111.33 = 111.33 : x
  2. Step 2: Convert to fraction form
    80.62/111.33 = 111.33/x
  3. Step 3: Cross multiply
    80.62x = 111.33 × 111.33
  4. Step 4: Simplify right side
    80.62x = 12,393.38
  5. Step 5: Solve for x
    x = 12,393.38/80.62
  6. Step 6: Final answer
    x = 153.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.