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Finding the Third Proportional to 37,508 and 79,234

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Solution

The third proportional to 37,508 and 79,234 is: 167,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,508 : 79,234 = 79,234 : x
  2. Step 2: Convert to fraction form
    37,508/79,234 = 79,234/x
  3. Step 3: Cross multiply
    37,508x = 79,234 × 79,234
  4. Step 4: Simplify right side
    37,508x = 6,278,026,756
  5. Step 5: Solve for x
    x = 6,278,026,756/37,508
  6. Step 6: Final answer
    x = 167,378.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.