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Finding the Third Proportional to 69,027 and 150,978

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Solution

The third proportional to 69,027 and 150,978 is: 330,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027 : 150,978 = 150,978 : x
  2. Step 2: Convert to fraction form
    69,027/150,978 = 150,978/x
  3. Step 3: Cross multiply
    69,027x = 150,978 × 150,978
  4. Step 4: Simplify right side
    69,027x = 22,794,356,484
  5. Step 5: Solve for x
    x = 22,794,356,484/69,027
  6. Step 6: Final answer
    x = 330,223.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.