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Finding the Third Proportional to 49,349 and 106,474

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Solution

The third proportional to 49,349 and 106,474 is: 229,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,349 : 106,474 = 106,474 : x
  2. Step 2: Convert to fraction form
    49,349/106,474 = 106,474/x
  3. Step 3: Cross multiply
    49,349x = 106,474 × 106,474
  4. Step 4: Simplify right side
    49,349x = 11,336,712,676
  5. Step 5: Solve for x
    x = 11,336,712,676/49,349
  6. Step 6: Final answer
    x = 229,725.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.