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Finding the Third Proportional to 49,539 and 107,826

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Solution

The third proportional to 49,539 and 107,826 is: 234,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539 : 107,826 = 107,826 : x
  2. Step 2: Convert to fraction form
    49,539/107,826 = 107,826/x
  3. Step 3: Cross multiply
    49,539x = 107,826 × 107,826
  4. Step 4: Simplify right side
    49,539x = 11,626,446,276
  5. Step 5: Solve for x
    x = 11,626,446,276/49,539
  6. Step 6: Final answer
    x = 234,692.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.