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Finding the Third Proportional to 50,889.75 and 72,234

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Solution

The third proportional to 50,889.75 and 72,234 is: 102,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,889.75 : 72,234 = 72,234 : x
  2. Step 2: Convert to fraction form
    50,889.75/72,234 = 72,234/x
  3. Step 3: Cross multiply
    50,889.75x = 72,234 × 72,234
  4. Step 4: Simplify right side
    50,889.75x = 5,217,750,756
  5. Step 5: Solve for x
    x = 5,217,750,756/50,889.75
  6. Step 6: Final answer
    x = 102,530.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.