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Finding the Third Proportional to 126,423.75 and 271,608

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Solution

The third proportional to 126,423.75 and 271,608 is: 583,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,423.75 : 271,608 = 271,608 : x
  2. Step 2: Convert to fraction form
    126,423.75/271,608 = 271,608/x
  3. Step 3: Cross multiply
    126,423.75x = 271,608 × 271,608
  4. Step 4: Simplify right side
    126,423.75x = 73,770,905,664
  5. Step 5: Solve for x
    x = 73,770,905,664/126,423.75
  6. Step 6: Final answer
    x = 583,520.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.