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Finding the Third Proportional to 41,841 and 90,621

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Solution

The third proportional to 41,841 and 90,621 is: 196,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,841 : 90,621 = 90,621 : x
  2. Step 2: Convert to fraction form
    41,841/90,621 = 90,621/x
  3. Step 3: Cross multiply
    41,841x = 90,621 × 90,621
  4. Step 4: Simplify right side
    41,841x = 8,212,165,641
  5. Step 5: Solve for x
    x = 8,212,165,641/41,841
  6. Step 6: Final answer
    x = 196,270.78

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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.