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Finding the Third Proportional to 49,294 and 106,891

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Solution

The third proportional to 49,294 and 106,891 is: 231,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,294 : 106,891 = 106,891 : x
  2. Step 2: Convert to fraction form
    49,294/106,891 = 106,891/x
  3. Step 3: Cross multiply
    49,294x = 106,891 × 106,891
  4. Step 4: Simplify right side
    49,294x = 11,425,685,881
  5. Step 5: Solve for x
    x = 11,425,685,881/49,294
  6. Step 6: Final answer
    x = 231,786.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.