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Finding the Third Proportional to 41,790 and 89,790

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Solution

The third proportional to 41,790 and 89,790 is: 192,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,790 : 89,790 = 89,790 : x
  2. Step 2: Convert to fraction form
    41,790/89,790 = 89,790/x
  3. Step 3: Cross multiply
    41,790x = 89,790 × 89,790
  4. Step 4: Simplify right side
    41,790x = 8,062,244,100
  5. Step 5: Solve for x
    x = 8,062,244,100/41,790
  6. Step 6: Final answer
    x = 192,922.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.