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Finding the Third Proportional to 41,055 and 88,249

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Solution

The third proportional to 41,055 and 88,249 is: 189,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055 : 88,249 = 88,249 : x
  2. Step 2: Convert to fraction form
    41,055/88,249 = 88,249/x
  3. Step 3: Cross multiply
    41,055x = 88,249 × 88,249
  4. Step 4: Simplify right side
    41,055x = 7,787,886,001
  5. Step 5: Solve for x
    x = 7,787,886,001/41,055
  6. Step 6: Final answer
    x = 189,693.97

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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.