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Finding the Third Proportional to 41,100 and 60,186

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Solution

The third proportional to 41,100 and 60,186 is: 88,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,100 : 60,186 = 60,186 : x
  2. Step 2: Convert to fraction form
    41,100/60,186 = 60,186/x
  3. Step 3: Cross multiply
    41,100x = 60,186 × 60,186
  4. Step 4: Simplify right side
    41,100x = 3,622,354,596
  5. Step 5: Solve for x
    x = 3,622,354,596/41,100
  6. Step 6: Final answer
    x = 88,135.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.