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Finding the Third Proportional to 85,823 and 179,493

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Solution

The third proportional to 85,823 and 179,493 is: 375,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823 : 179,493 = 179,493 : x
  2. Step 2: Convert to fraction form
    85,823/179,493 = 179,493/x
  3. Step 3: Cross multiply
    85,823x = 179,493 × 179,493
  4. Step 4: Simplify right side
    85,823x = 32,217,737,049
  5. Step 5: Solve for x
    x = 32,217,737,049/85,823
  6. Step 6: Final answer
    x = 375,397.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.