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Finding the Third Proportional to 80,741 and 164,758

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Solution

The third proportional to 80,741 and 164,758 is: 336,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,741 : 164,758 = 164,758 : x
  2. Step 2: Convert to fraction form
    80,741/164,758 = 164,758/x
  3. Step 3: Cross multiply
    80,741x = 164,758 × 164,758
  4. Step 4: Simplify right side
    80,741x = 27,145,198,564
  5. Step 5: Solve for x
    x = 27,145,198,564/80,741
  6. Step 6: Final answer
    x = 336,200.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.