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Finding the Third Proportional to 83,082 and 177,975

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Solution

The third proportional to 83,082 and 177,975 is: 381,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082 : 177,975 = 177,975 : x
  2. Step 2: Convert to fraction form
    83,082/177,975 = 177,975/x
  3. Step 3: Cross multiply
    83,082x = 177,975 × 177,975
  4. Step 4: Simplify right side
    83,082x = 31,675,100,625
  5. Step 5: Solve for x
    x = 31,675,100,625/83,082
  6. Step 6: Final answer
    x = 381,251.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.