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Finding the Third Proportional to 49,256 and 73,866

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Solution

The third proportional to 49,256 and 73,866 is: 110,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256 : 73,866 = 73,866 : x
  2. Step 2: Convert to fraction form
    49,256/73,866 = 73,866/x
  3. Step 3: Cross multiply
    49,256x = 73,866 × 73,866
  4. Step 4: Simplify right side
    49,256x = 5,456,185,956
  5. Step 5: Solve for x
    x = 5,456,185,956/49,256
  6. Step 6: Final answer
    x = 110,772.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.