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Finding the Third Proportional to 41,190 and 88,698

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Solution

The third proportional to 41,190 and 88,698 is: 191,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,190 : 88,698 = 88,698 : x
  2. Step 2: Convert to fraction form
    41,190/88,698 = 88,698/x
  3. Step 3: Cross multiply
    41,190x = 88,698 × 88,698
  4. Step 4: Simplify right side
    41,190x = 7,867,335,204
  5. Step 5: Solve for x
    x = 7,867,335,204/41,190
  6. Step 6: Final answer
    x = 191,001.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.