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Finding the Third Proportional to 41,180 and 89,913

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Solution

The third proportional to 41,180 and 89,913 is: 196,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180 : 89,913 = 89,913 : x
  2. Step 2: Convert to fraction form
    41,180/89,913 = 89,913/x
  3. Step 3: Cross multiply
    41,180x = 89,913 × 89,913
  4. Step 4: Simplify right side
    41,180x = 8,084,347,569
  5. Step 5: Solve for x
    x = 8,084,347,569/41,180
  6. Step 6: Final answer
    x = 196,317.33

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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.