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Finding the Third Proportional to 50,387 and 109,846

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Solution

The third proportional to 50,387 and 109,846 is: 239,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,387 : 109,846 = 109,846 : x
  2. Step 2: Convert to fraction form
    50,387/109,846 = 109,846/x
  3. Step 3: Cross multiply
    50,387x = 109,846 × 109,846
  4. Step 4: Simplify right side
    50,387x = 12,066,143,716
  5. Step 5: Solve for x
    x = 12,066,143,716/50,387
  6. Step 6: Final answer
    x = 239,469.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.