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Finding the Third Proportional to 126,093 and 274,218

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Solution

The third proportional to 126,093 and 274,218 is: 596,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,093 : 274,218 = 274,218 : x
  2. Step 2: Convert to fraction form
    126,093/274,218 = 274,218/x
  3. Step 3: Cross multiply
    126,093x = 274,218 × 274,218
  4. Step 4: Simplify right side
    126,093x = 75,195,511,524
  5. Step 5: Solve for x
    x = 75,195,511,524/126,093
  6. Step 6: Final answer
    x = 596,349.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.