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Finding the Third Proportional to 126,196.73 and 267,975.84

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Solution

The third proportional to 126,196.73 and 267,975.84 is: 569,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,196.73 : 267,975.84 = 267,975.84 : x
  2. Step 2: Convert to fraction form
    126,196.73/267,975.84 = 267,975.84/x
  3. Step 3: Cross multiply
    126,196.73x = 267,975.84 × 267,975.84
  4. Step 4: Simplify right side
    126,196.73x = 71,811,052,833.52
  5. Step 5: Solve for x
    x = 71,811,052,833.52/126,196.73
  6. Step 6: Final answer
    x = 569,040.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.