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Finding the Third Proportional to 50,313 and 104,793

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Solution

The third proportional to 50,313 and 104,793 is: 218,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313 : 104,793 = 104,793 : x
  2. Step 2: Convert to fraction form
    50,313/104,793 = 104,793/x
  3. Step 3: Cross multiply
    50,313x = 104,793 × 104,793
  4. Step 4: Simplify right side
    50,313x = 10,981,572,849
  5. Step 5: Solve for x
    x = 10,981,572,849/50,313
  6. Step 6: Final answer
    x = 218,265.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.