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Finding the Third Proportional to 41,170 and 85,823

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Solution

The third proportional to 41,170 and 85,823 is: 178,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,170 : 85,823 = 85,823 : x
  2. Step 2: Convert to fraction form
    41,170/85,823 = 85,823/x
  3. Step 3: Cross multiply
    41,170x = 85,823 × 85,823
  4. Step 4: Simplify right side
    41,170x = 7,365,587,329
  5. Step 5: Solve for x
    x = 7,365,587,329/41,170
  6. Step 6: Final answer
    x = 178,906.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.