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Finding the Third Proportional to 50,379 and 68,177

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Solution

The third proportional to 50,379 and 68,177 is: 92,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,379 : 68,177 = 68,177 : x
  2. Step 2: Convert to fraction form
    50,379/68,177 = 68,177/x
  3. Step 3: Cross multiply
    50,379x = 68,177 × 68,177
  4. Step 4: Simplify right side
    50,379x = 4,648,103,329
  5. Step 5: Solve for x
    x = 4,648,103,329/50,379
  6. Step 6: Final answer
    x = 92,262.72

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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.