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Finding the Third Proportional to 41,173 and 89,879

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Solution

The third proportional to 41,173 and 89,879 is: 196,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,173 : 89,879 = 89,879 : x
  2. Step 2: Convert to fraction form
    41,173/89,879 = 89,879/x
  3. Step 3: Cross multiply
    41,173x = 89,879 × 89,879
  4. Step 4: Simplify right side
    41,173x = 8,078,234,641
  5. Step 5: Solve for x
    x = 8,078,234,641/41,173
  6. Step 6: Final answer
    x = 196,202.24

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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.