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Finding the Third Proportional to 41,141 and 89,821

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Solution

The third proportional to 41,141 and 89,821 is: 196,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,141 : 89,821 = 89,821 : x
  2. Step 2: Convert to fraction form
    41,141/89,821 = 89,821/x
  3. Step 3: Cross multiply
    41,141x = 89,821 × 89,821
  4. Step 4: Simplify right side
    41,141x = 8,067,812,041
  5. Step 5: Solve for x
    x = 8,067,812,041/41,141
  6. Step 6: Final answer
    x = 196,101.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.