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Finding the Third Proportional to 73,728 and 166,896

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Solution

The third proportional to 73,728 and 166,896 is: 377,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728 : 166,896 = 166,896 : x
  2. Step 2: Convert to fraction form
    73,728/166,896 = 166,896/x
  3. Step 3: Cross multiply
    73,728x = 166,896 × 166,896
  4. Step 4: Simplify right side
    73,728x = 27,854,274,816
  5. Step 5: Solve for x
    x = 27,854,274,816/73,728
  6. Step 6: Final answer
    x = 377,797.78

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.