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Finding the Third Proportional to 50,182 and 68,812

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Solution

The third proportional to 50,182 and 68,812 is: 94,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,182 : 68,812 = 68,812 : x
  2. Step 2: Convert to fraction form
    50,182/68,812 = 68,812/x
  3. Step 3: Cross multiply
    50,182x = 68,812 × 68,812
  4. Step 4: Simplify right side
    50,182x = 4,735,091,344
  5. Step 5: Solve for x
    x = 4,735,091,344/50,182
  6. Step 6: Final answer
    x = 94,358.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.