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Finding the Third Proportional to 69,108 and 150,723

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Solution

The third proportional to 69,108 and 150,723 is: 328,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,108 : 150,723 = 150,723 : x
  2. Step 2: Convert to fraction form
    69,108/150,723 = 150,723/x
  3. Step 3: Cross multiply
    69,108x = 150,723 × 150,723
  4. Step 4: Simplify right side
    69,108x = 22,717,422,729
  5. Step 5: Solve for x
    x = 22,717,422,729/69,108
  6. Step 6: Final answer
    x = 328,723.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.