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Finding the Third Proportional to 47,671 and 104,894

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Solution

The third proportional to 47,671 and 104,894 is: 230,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671 : 104,894 = 104,894 : x
  2. Step 2: Convert to fraction form
    47,671/104,894 = 104,894/x
  3. Step 3: Cross multiply
    47,671x = 104,894 × 104,894
  4. Step 4: Simplify right side
    47,671x = 11,002,751,236
  5. Step 5: Solve for x
    x = 11,002,751,236/47,671
  6. Step 6: Final answer
    x = 230,805.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.