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Finding the Third Proportional to 41,211 and 90,009

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Solution

The third proportional to 41,211 and 90,009 is: 196,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,211 : 90,009 = 90,009 : x
  2. Step 2: Convert to fraction form
    41,211/90,009 = 90,009/x
  3. Step 3: Cross multiply
    41,211x = 90,009 × 90,009
  4. Step 4: Simplify right side
    41,211x = 8,101,620,081
  5. Step 5: Solve for x
    x = 8,101,620,081/41,211
  6. Step 6: Final answer
    x = 196,588.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.