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Finding the Third Proportional to 47,600 and 104,543

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Solution

The third proportional to 47,600 and 104,543 is: 229,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600 : 104,543 = 104,543 : x
  2. Step 2: Convert to fraction form
    47,600/104,543 = 104,543/x
  3. Step 3: Cross multiply
    47,600x = 104,543 × 104,543
  4. Step 4: Simplify right side
    47,600x = 10,929,238,849
  5. Step 5: Solve for x
    x = 10,929,238,849/47,600
  6. Step 6: Final answer
    x = 229,605.86

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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.