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Finding the Third Proportional to 126,069.75 and 273,138.75

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Solution

The third proportional to 126,069.75 and 273,138.75 is: 591,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,069.75 : 273,138.75 = 273,138.75 : x
  2. Step 2: Convert to fraction form
    126,069.75/273,138.75 = 273,138.75/x
  3. Step 3: Cross multiply
    126,069.75x = 273,138.75 × 273,138.75
  4. Step 4: Simplify right side
    126,069.75x = 74,604,776,751.56
  5. Step 5: Solve for x
    x = 74,604,776,751.56/126,069.75
  6. Step 6: Final answer
    x = 591,773.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.