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Finding the Third Proportional to 50,244 and 68,238

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Solution

The third proportional to 50,244 and 68,238 is: 92,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244 : 68,238 = 68,238 : x
  2. Step 2: Convert to fraction form
    50,244/68,238 = 68,238/x
  3. Step 3: Cross multiply
    50,244x = 68,238 × 68,238
  4. Step 4: Simplify right side
    50,244x = 4,656,424,644
  5. Step 5: Solve for x
    x = 4,656,424,644/50,244
  6. Step 6: Final answer
    x = 92,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.