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Finding the Third Proportional to 41,767 and 86,990

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Solution

The third proportional to 41,767 and 86,990 is: 181,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,767 : 86,990 = 86,990 : x
  2. Step 2: Convert to fraction form
    41,767/86,990 = 86,990/x
  3. Step 3: Cross multiply
    41,767x = 86,990 × 86,990
  4. Step 4: Simplify right side
    41,767x = 7,567,260,100
  5. Step 5: Solve for x
    x = 7,567,260,100/41,767
  6. Step 6: Final answer
    x = 181,177.97

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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.