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Finding the Third Proportional to 69,848 and 150,856

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Solution

The third proportional to 69,848 and 150,856 is: 325,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,848 : 150,856 = 150,856 : x
  2. Step 2: Convert to fraction form
    69,848/150,856 = 150,856/x
  3. Step 3: Cross multiply
    69,848x = 150,856 × 150,856
  4. Step 4: Simplify right side
    69,848x = 22,757,532,736
  5. Step 5: Solve for x
    x = 22,757,532,736/69,848
  6. Step 6: Final answer
    x = 325,815.09

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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.