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Finding the Third Proportional to 41,211 and 88,251.75

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Solution

The third proportional to 41,211 and 88,251.75 is: 188,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,211 : 88,251.75 = 88,251.75 : x
  2. Step 2: Convert to fraction form
    41,211/88,251.75 = 88,251.75/x
  3. Step 3: Cross multiply
    41,211x = 88,251.75 × 88,251.75
  4. Step 4: Simplify right side
    41,211x = 7,788,371,378.06
  5. Step 5: Solve for x
    x = 7,788,371,378.06/41,211
  6. Step 6: Final answer
    x = 188,987.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.