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Finding the Third Proportional to 41,684 and 91,192

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Solution

The third proportional to 41,684 and 91,192 is: 199,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684 : 91,192 = 91,192 : x
  2. Step 2: Convert to fraction form
    41,684/91,192 = 91,192/x
  3. Step 3: Cross multiply
    41,684x = 91,192 × 91,192
  4. Step 4: Simplify right side
    41,684x = 8,315,980,864
  5. Step 5: Solve for x
    x = 8,315,980,864/41,684
  6. Step 6: Final answer
    x = 199,500.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.