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Finding the Third Proportional to 50,287 and 104,743

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Solution

The third proportional to 50,287 and 104,743 is: 218,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,287 : 104,743 = 104,743 : x
  2. Step 2: Convert to fraction form
    50,287/104,743 = 104,743/x
  3. Step 3: Cross multiply
    50,287x = 104,743 × 104,743
  4. Step 4: Simplify right side
    50,287x = 10,971,096,049
  5. Step 5: Solve for x
    x = 10,971,096,049/50,287
  6. Step 6: Final answer
    x = 218,169.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.