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Finding the Third Proportional to 49,866 and 108,039

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Solution

The third proportional to 49,866 and 108,039 is: 234,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866 : 108,039 = 108,039 : x
  2. Step 2: Convert to fraction form
    49,866/108,039 = 108,039/x
  3. Step 3: Cross multiply
    49,866x = 108,039 × 108,039
  4. Step 4: Simplify right side
    49,866x = 11,672,425,521
  5. Step 5: Solve for x
    x = 11,672,425,521/49,866
  6. Step 6: Final answer
    x = 234,075.83

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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.