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Finding the Third Proportional to 84,500 and 179,762

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Solution

The third proportional to 84,500 and 179,762 is: 382,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,500 : 179,762 = 179,762 : x
  2. Step 2: Convert to fraction form
    84,500/179,762 = 179,762/x
  3. Step 3: Cross multiply
    84,500x = 179,762 × 179,762
  4. Step 4: Simplify right side
    84,500x = 32,314,376,644
  5. Step 5: Solve for x
    x = 32,314,376,644/84,500
  6. Step 6: Final answer
    x = 382,418.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.