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Finding the Third Proportional to 82,912.50 and 128,040.75

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Solution

The third proportional to 82,912.50 and 128,040.75 is: 197,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.50 : 128,040.75 = 128,040.75 : x
  2. Step 2: Convert to fraction form
    82,912.50/128,040.75 = 128,040.75/x
  3. Step 3: Cross multiply
    82,912.50x = 128,040.75 × 128,040.75
  4. Step 4: Simplify right side
    82,912.50x = 16,394,433,660.56
  5. Step 5: Solve for x
    x = 16,394,433,660.56/82,912.50
  6. Step 6: Final answer
    x = 197,731.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.