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Finding the Third Proportional to 41,652 and 93,759

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Solution

The third proportional to 41,652 and 93,759 is: 211,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652 : 93,759 = 93,759 : x
  2. Step 2: Convert to fraction form
    41,652/93,759 = 93,759/x
  3. Step 3: Cross multiply
    41,652x = 93,759 × 93,759
  4. Step 4: Simplify right side
    41,652x = 8,790,750,081
  5. Step 5: Solve for x
    x = 8,790,750,081/41,652
  6. Step 6: Final answer
    x = 211,052.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.