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Finding the Third Proportional to 85,217 and 179,423

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Solution

The third proportional to 85,217 and 179,423 is: 377,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,217 : 179,423 = 179,423 : x
  2. Step 2: Convert to fraction form
    85,217/179,423 = 179,423/x
  3. Step 3: Cross multiply
    85,217x = 179,423 × 179,423
  4. Step 4: Simplify right side
    85,217x = 32,192,612,929
  5. Step 5: Solve for x
    x = 32,192,612,929/85,217
  6. Step 6: Final answer
    x = 377,772.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.