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Finding the Third Proportional to 121.74 and 182.61

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Solution

The third proportional to 121.74 and 182.61 is: 273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 182.61 = 182.61 : x
  2. Step 2: Convert to fraction form
    121.74/182.61 = 182.61/x
  3. Step 3: Cross multiply
    121.74x = 182.61 × 182.61
  4. Step 4: Simplify right side
    121.74x = 33,344.94
  5. Step 5: Solve for x
    x = 33,344.94/121.74
  6. Step 6: Final answer
    x = 273.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.