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Finding the Third Proportional to 126,651.75 and 270,237.75

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Solution

The third proportional to 126,651.75 and 270,237.75 is: 576,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,651.75 : 270,237.75 = 270,237.75 : x
  2. Step 2: Convert to fraction form
    126,651.75/270,237.75 = 270,237.75/x
  3. Step 3: Cross multiply
    126,651.75x = 270,237.75 × 270,237.75
  4. Step 4: Simplify right side
    126,651.75x = 73,028,441,525.06
  5. Step 5: Solve for x
    x = 73,028,441,525.06/126,651.75
  6. Step 6: Final answer
    x = 576,608.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.