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Finding the Third Proportional to 69,727.50 and 150,633

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Solution

The third proportional to 69,727.50 and 150,633 is: 325,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,727.50 : 150,633 = 150,633 : x
  2. Step 2: Convert to fraction form
    69,727.50/150,633 = 150,633/x
  3. Step 3: Cross multiply
    69,727.50x = 150,633 × 150,633
  4. Step 4: Simplify right side
    69,727.50x = 22,690,300,689
  5. Step 5: Solve for x
    x = 22,690,300,689/69,727.50
  6. Step 6: Final answer
    x = 325,413.94

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