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Finding the Third Proportional to 50,068 and 101,517

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Solution

The third proportional to 50,068 and 101,517 is: 205,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,068 : 101,517 = 101,517 : x
  2. Step 2: Convert to fraction form
    50,068/101,517 = 101,517/x
  3. Step 3: Cross multiply
    50,068x = 101,517 × 101,517
  4. Step 4: Simplify right side
    50,068x = 10,305,701,289
  5. Step 5: Solve for x
    x = 10,305,701,289/50,068
  6. Step 6: Final answer
    x = 205,834.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.