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Finding the Third Proportional to 34,674 and 80,901

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Solution

The third proportional to 34,674 and 80,901 is: 188,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674 : 80,901 = 80,901 : x
  2. Step 2: Convert to fraction form
    34,674/80,901 = 80,901/x
  3. Step 3: Cross multiply
    34,674x = 80,901 × 80,901
  4. Step 4: Simplify right side
    34,674x = 6,544,971,801
  5. Step 5: Solve for x
    x = 6,544,971,801/34,674
  6. Step 6: Final answer
    x = 188,757.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.