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Finding the Third Proportional to 41,886 and 87,902

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Solution

The third proportional to 41,886 and 87,902 is: 184,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886 : 87,902 = 87,902 : x
  2. Step 2: Convert to fraction form
    41,886/87,902 = 87,902/x
  3. Step 3: Cross multiply
    41,886x = 87,902 × 87,902
  4. Step 4: Simplify right side
    41,886x = 7,726,761,604
  5. Step 5: Solve for x
    x = 7,726,761,604/41,886
  6. Step 6: Final answer
    x = 184,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.