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Finding the Third Proportional to 69,786 and 151,150

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Solution

The third proportional to 69,786 and 151,150 is: 327,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,786 : 151,150 = 151,150 : x
  2. Step 2: Convert to fraction form
    69,786/151,150 = 151,150/x
  3. Step 3: Cross multiply
    69,786x = 151,150 × 151,150
  4. Step 4: Simplify right side
    69,786x = 22,846,322,500
  5. Step 5: Solve for x
    x = 22,846,322,500/69,786
  6. Step 6: Final answer
    x = 327,376.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.