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Finding the Third Proportional to 83,919 and 182,058

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Solution

The third proportional to 83,919 and 182,058 is: 394,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,919 : 182,058 = 182,058 : x
  2. Step 2: Convert to fraction form
    83,919/182,058 = 182,058/x
  3. Step 3: Cross multiply
    83,919x = 182,058 × 182,058
  4. Step 4: Simplify right side
    83,919x = 33,145,115,364
  5. Step 5: Solve for x
    x = 33,145,115,364/83,919
  6. Step 6: Final answer
    x = 394,965.57

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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.