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Finding the Third Proportional to 41,163 and 89,859

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Solution

The third proportional to 41,163 and 89,859 is: 196,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163 : 89,859 = 89,859 : x
  2. Step 2: Convert to fraction form
    41,163/89,859 = 89,859/x
  3. Step 3: Cross multiply
    41,163x = 89,859 × 89,859
  4. Step 4: Simplify right side
    41,163x = 8,074,639,881
  5. Step 5: Solve for x
    x = 8,074,639,881/41,163
  6. Step 6: Final answer
    x = 196,162.57

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Why These Related Problems?

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