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Finding the Third Proportional to 84,756 and 182,836

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Solution

The third proportional to 84,756 and 182,836 is: 394,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,756 : 182,836 = 182,836 : x
  2. Step 2: Convert to fraction form
    84,756/182,836 = 182,836/x
  3. Step 3: Cross multiply
    84,756x = 182,836 × 182,836
  4. Step 4: Simplify right side
    84,756x = 33,429,002,896
  5. Step 5: Solve for x
    x = 33,429,002,896/84,756
  6. Step 6: Final answer
    x = 394,414.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.