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Finding the Third Proportional to 69,198.75 and 146,598.75

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Solution

The third proportional to 69,198.75 and 146,598.75 is: 310,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,198.75 : 146,598.75 = 146,598.75 : x
  2. Step 2: Convert to fraction form
    69,198.75/146,598.75 = 146,598.75/x
  3. Step 3: Cross multiply
    69,198.75x = 146,598.75 × 146,598.75
  4. Step 4: Simplify right side
    69,198.75x = 21,491,193,501.56
  5. Step 5: Solve for x
    x = 21,491,193,501.56/69,198.75
  6. Step 6: Final answer
    x = 310,571.99

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