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Finding the Third Proportional to 69,538.50 and 150,163.88

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Solution

The third proportional to 69,538.50 and 150,163.88 is: 324,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538.50 : 150,163.88 = 150,163.88 : x
  2. Step 2: Convert to fraction form
    69,538.50/150,163.88 = 150,163.88/x
  3. Step 3: Cross multiply
    69,538.50x = 150,163.88 × 150,163.88
  4. Step 4: Simplify right side
    69,538.50x = 22,549,189,355.02
  5. Step 5: Solve for x
    x = 22,549,189,355.02/69,538.50
  6. Step 6: Final answer
    x = 324,269.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.