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Finding the Third Proportional to 126,825.50 and 267,790

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Solution

The third proportional to 126,825.50 and 267,790 is: 565,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,825.50 : 267,790 = 267,790 : x
  2. Step 2: Convert to fraction form
    126,825.50/267,790 = 267,790/x
  3. Step 3: Cross multiply
    126,825.50x = 267,790 × 267,790
  4. Step 4: Simplify right side
    126,825.50x = 71,711,484,100
  5. Step 5: Solve for x
    x = 71,711,484,100/126,825.50
  6. Step 6: Final answer
    x = 565,434.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.