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Finding the Third Proportional to 83.25 and 121.88

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Solution

The third proportional to 83.25 and 121.88 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 121.88 = 121.88 : x
  2. Step 2: Convert to fraction form
    83.25/121.88 = 121.88/x
  3. Step 3: Cross multiply
    83.25x = 121.88 × 121.88
  4. Step 4: Simplify right side
    83.25x = 14,853.52
  5. Step 5: Solve for x
    x = 14,853.52/83.25
  6. Step 6: Final answer
    x = 178.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.