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Finding the Third Proportional to 47,759 and 104,077

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Solution

The third proportional to 47,759 and 104,077 is: 226,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759 : 104,077 = 104,077 : x
  2. Step 2: Convert to fraction form
    47,759/104,077 = 104,077/x
  3. Step 3: Cross multiply
    47,759x = 104,077 × 104,077
  4. Step 4: Simplify right side
    47,759x = 10,832,021,929
  5. Step 5: Solve for x
    x = 10,832,021,929/47,759
  6. Step 6: Final answer
    x = 226,805.88

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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.