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Finding the Third Proportional to 41,041 and 88,212

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Solution

The third proportional to 41,041 and 88,212 is: 189,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,041 : 88,212 = 88,212 : x
  2. Step 2: Convert to fraction form
    41,041/88,212 = 88,212/x
  3. Step 3: Cross multiply
    41,041x = 88,212 × 88,212
  4. Step 4: Simplify right side
    41,041x = 7,781,356,944
  5. Step 5: Solve for x
    x = 7,781,356,944/41,041
  6. Step 6: Final answer
    x = 189,599.59

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