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Finding the Third Proportional to 49,639 and 106,204

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Solution

The third proportional to 49,639 and 106,204 is: 227,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639 : 106,204 = 106,204 : x
  2. Step 2: Convert to fraction form
    49,639/106,204 = 106,204/x
  3. Step 3: Cross multiply
    49,639x = 106,204 × 106,204
  4. Step 4: Simplify right side
    49,639x = 11,279,289,616
  5. Step 5: Solve for x
    x = 11,279,289,616/49,639
  6. Step 6: Final answer
    x = 227,226.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.