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Finding the Third Proportional to 82.41 and 121.78

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Solution

The third proportional to 82.41 and 121.78 is: 179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 121.78 = 121.78 : x
  2. Step 2: Convert to fraction form
    82.41/121.78 = 121.78/x
  3. Step 3: Cross multiply
    82.41x = 121.78 × 121.78
  4. Step 4: Simplify right side
    82.41x = 14,830.67
  5. Step 5: Solve for x
    x = 14,830.67/82.41
  6. Step 6: Final answer
    x = 179.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.