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Finding the Third Proportional to 50,874.75 and 103,187.25

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Solution

The third proportional to 50,874.75 and 103,187.25 is: 209,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.75 : 103,187.25 = 103,187.25 : x
  2. Step 2: Convert to fraction form
    50,874.75/103,187.25 = 103,187.25/x
  3. Step 3: Cross multiply
    50,874.75x = 103,187.25 × 103,187.25
  4. Step 4: Simplify right side
    50,874.75x = 10,647,608,562.56
  5. Step 5: Solve for x
    x = 10,647,608,562.56/50,874.75
  6. Step 6: Final answer
    x = 209,290.63

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.