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Finding the Third Proportional to 50,245 and 109,225

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Solution

The third proportional to 50,245 and 109,225 is: 237,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245 : 109,225 = 109,225 : x
  2. Step 2: Convert to fraction form
    50,245/109,225 = 109,225/x
  3. Step 3: Cross multiply
    50,245x = 109,225 × 109,225
  4. Step 4: Simplify right side
    50,245x = 11,930,100,625
  5. Step 5: Solve for x
    x = 11,930,100,625/50,245
  6. Step 6: Final answer
    x = 237,438.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.