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Finding the Third Proportional to 122,769.75 and 271,350.75

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Solution

The third proportional to 122,769.75 and 271,350.75 is: 599,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,769.75 : 271,350.75 = 271,350.75 : x
  2. Step 2: Convert to fraction form
    122,769.75/271,350.75 = 271,350.75/x
  3. Step 3: Cross multiply
    122,769.75x = 271,350.75 × 271,350.75
  4. Step 4: Simplify right side
    122,769.75x = 73,631,229,525.56
  5. Step 5: Solve for x
    x = 73,631,229,525.56/122,769.75
  6. Step 6: Final answer
    x = 599,750.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.