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Finding the Third Proportional to 47,839 and 104,749

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Solution

The third proportional to 47,839 and 104,749 is: 229,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,839 : 104,749 = 104,749 : x
  2. Step 2: Convert to fraction form
    47,839/104,749 = 104,749/x
  3. Step 3: Cross multiply
    47,839x = 104,749 × 104,749
  4. Step 4: Simplify right side
    47,839x = 10,972,353,001
  5. Step 5: Solve for x
    x = 10,972,353,001/47,839
  6. Step 6: Final answer
    x = 229,360.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.