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Finding the Third Proportional to 69,647 and 149,770

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Solution

The third proportional to 69,647 and 149,770 is: 322,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,647 : 149,770 = 149,770 : x
  2. Step 2: Convert to fraction form
    69,647/149,770 = 149,770/x
  3. Step 3: Cross multiply
    69,647x = 149,770 × 149,770
  4. Step 4: Simplify right side
    69,647x = 22,431,052,900
  5. Step 5: Solve for x
    x = 22,431,052,900/69,647
  6. Step 6: Final answer
    x = 322,067.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.