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Finding the Third Proportional to 49,279 and 108,101

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Solution

The third proportional to 49,279 and 108,101 is: 237,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,279 : 108,101 = 108,101 : x
  2. Step 2: Convert to fraction form
    49,279/108,101 = 108,101/x
  3. Step 3: Cross multiply
    49,279x = 108,101 × 108,101
  4. Step 4: Simplify right side
    49,279x = 11,685,826,201
  5. Step 5: Solve for x
    x = 11,685,826,201/49,279
  6. Step 6: Final answer
    x = 237,136.03

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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.