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Finding the Third Proportional to 47,600 and 104,542

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Solution

The third proportional to 47,600 and 104,542 is: 229,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600 : 104,542 = 104,542 : x
  2. Step 2: Convert to fraction form
    47,600/104,542 = 104,542/x
  3. Step 3: Cross multiply
    47,600x = 104,542 × 104,542
  4. Step 4: Simplify right side
    47,600x = 10,929,029,764
  5. Step 5: Solve for x
    x = 10,929,029,764/47,600
  6. Step 6: Final answer
    x = 229,601.47

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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.