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Finding the Third Proportional to 107,711 and 150,933

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Solution

The third proportional to 107,711 and 150,933 is: 211,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711 : 150,933 = 150,933 : x
  2. Step 2: Convert to fraction form
    107,711/150,933 = 150,933/x
  3. Step 3: Cross multiply
    107,711x = 150,933 × 150,933
  4. Step 4: Simplify right side
    107,711x = 22,780,770,489
  5. Step 5: Solve for x
    x = 22,780,770,489/107,711
  6. Step 6: Final answer
    x = 211,499.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.