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Finding the Third Proportional to 41,552 and 90,016

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Solution

The third proportional to 41,552 and 90,016 is: 195,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,552 : 90,016 = 90,016 : x
  2. Step 2: Convert to fraction form
    41,552/90,016 = 90,016/x
  3. Step 3: Cross multiply
    41,552x = 90,016 × 90,016
  4. Step 4: Simplify right side
    41,552x = 8,102,880,256
  5. Step 5: Solve for x
    x = 8,102,880,256/41,552
  6. Step 6: Final answer
    x = 195,005.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.