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Finding the Third Proportional to 50,508 and 79,234

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Solution

The third proportional to 50,508 and 79,234 is: 124,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508 : 79,234 = 79,234 : x
  2. Step 2: Convert to fraction form
    50,508/79,234 = 79,234/x
  3. Step 3: Cross multiply
    50,508x = 79,234 × 79,234
  4. Step 4: Simplify right side
    50,508x = 6,278,026,756
  5. Step 5: Solve for x
    x = 6,278,026,756/50,508
  6. Step 6: Final answer
    x = 124,297.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.