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Finding the Third Proportional to 47,673 and 104,103

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Solution

The third proportional to 47,673 and 104,103 is: 227,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673 : 104,103 = 104,103 : x
  2. Step 2: Convert to fraction form
    47,673/104,103 = 104,103/x
  3. Step 3: Cross multiply
    47,673x = 104,103 × 104,103
  4. Step 4: Simplify right side
    47,673x = 10,837,434,609
  5. Step 5: Solve for x
    x = 10,837,434,609/47,673
  6. Step 6: Final answer
    x = 227,328.56

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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.