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Finding the Third Proportional to 50,892.75 and 108,548.25

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Solution

The third proportional to 50,892.75 and 108,548.25 is: 231,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892.75 : 108,548.25 = 108,548.25 : x
  2. Step 2: Convert to fraction form
    50,892.75/108,548.25 = 108,548.25/x
  3. Step 3: Cross multiply
    50,892.75x = 108,548.25 × 108,548.25
  4. Step 4: Simplify right side
    50,892.75x = 11,782,722,578.06
  5. Step 5: Solve for x
    x = 11,782,722,578.06/50,892.75
  6. Step 6: Final answer
    x = 231,520.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.