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Finding the Third Proportional to 50,379 and 68,175

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Solution

The third proportional to 50,379 and 68,175 is: 92,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,379 : 68,175 = 68,175 : x
  2. Step 2: Convert to fraction form
    50,379/68,175 = 68,175/x
  3. Step 3: Cross multiply
    50,379x = 68,175 × 68,175
  4. Step 4: Simplify right side
    50,379x = 4,647,830,625
  5. Step 5: Solve for x
    x = 4,647,830,625/50,379
  6. Step 6: Final answer
    x = 92,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.