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Finding the Third Proportional to 37,279 and 80,119

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Solution

The third proportional to 37,279 and 80,119 is: 172,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,279 : 80,119 = 80,119 : x
  2. Step 2: Convert to fraction form
    37,279/80,119 = 80,119/x
  3. Step 3: Cross multiply
    37,279x = 80,119 × 80,119
  4. Step 4: Simplify right side
    37,279x = 6,419,054,161
  5. Step 5: Solve for x
    x = 6,419,054,161/37,279
  6. Step 6: Final answer
    x = 172,189.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.