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Finding the Third Proportional to 41,660 and 89,881

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Solution

The third proportional to 41,660 and 89,881 is: 193,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,660 : 89,881 = 89,881 : x
  2. Step 2: Convert to fraction form
    41,660/89,881 = 89,881/x
  3. Step 3: Cross multiply
    41,660x = 89,881 × 89,881
  4. Step 4: Simplify right side
    41,660x = 8,078,594,161
  5. Step 5: Solve for x
    x = 8,078,594,161/41,660
  6. Step 6: Final answer
    x = 193,917.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.