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Finding the Third Proportional to 49,243 and 73,846

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Solution

The third proportional to 49,243 and 73,846 is: 110,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,243 : 73,846 = 73,846 : x
  2. Step 2: Convert to fraction form
    49,243/73,846 = 73,846/x
  3. Step 3: Cross multiply
    49,243x = 73,846 × 73,846
  4. Step 4: Simplify right side
    49,243x = 5,453,231,716
  5. Step 5: Solve for x
    x = 5,453,231,716/49,243
  6. Step 6: Final answer
    x = 110,741.26

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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.