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Finding the Third Proportional to 70,132 and 150,956

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Solution

The third proportional to 70,132 and 150,956 is: 324,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,132 : 150,956 = 150,956 : x
  2. Step 2: Convert to fraction form
    70,132/150,956 = 150,956/x
  3. Step 3: Cross multiply
    70,132x = 150,956 × 150,956
  4. Step 4: Simplify right side
    70,132x = 22,787,713,936
  5. Step 5: Solve for x
    x = 22,787,713,936/70,132
  6. Step 6: Final answer
    x = 324,926.05

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