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Finding the Third Proportional to 38,558 and 80,194

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Solution

The third proportional to 38,558 and 80,194 is: 166,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,558 : 80,194 = 80,194 : x
  2. Step 2: Convert to fraction form
    38,558/80,194 = 80,194/x
  3. Step 3: Cross multiply
    38,558x = 80,194 × 80,194
  4. Step 4: Simplify right side
    38,558x = 6,431,077,636
  5. Step 5: Solve for x
    x = 6,431,077,636/38,558
  6. Step 6: Final answer
    x = 166,789.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.