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Finding the Third Proportional to 36,682 and 76,234

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Solution

The third proportional to 36,682 and 76,234 is: 158,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,682 : 76,234 = 76,234 : x
  2. Step 2: Convert to fraction form
    36,682/76,234 = 76,234/x
  3. Step 3: Cross multiply
    36,682x = 76,234 × 76,234
  4. Step 4: Simplify right side
    36,682x = 5,811,622,756
  5. Step 5: Solve for x
    x = 5,811,622,756/36,682
  6. Step 6: Final answer
    x = 158,432.55

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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.