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Finding the Third Proportional to 69,887 and 150,898

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Solution

The third proportional to 69,887 and 150,898 is: 325,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,887 : 150,898 = 150,898 : x
  2. Step 2: Convert to fraction form
    69,887/150,898 = 150,898/x
  3. Step 3: Cross multiply
    69,887x = 150,898 × 150,898
  4. Step 4: Simplify right side
    69,887x = 22,770,206,404
  5. Step 5: Solve for x
    x = 22,770,206,404/69,887
  6. Step 6: Final answer
    x = 325,814.62

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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.