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Finding the Third Proportional to 70,974 and 150,600

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Solution

The third proportional to 70,974 and 150,600 is: 319,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974 : 150,600 = 150,600 : x
  2. Step 2: Convert to fraction form
    70,974/150,600 = 150,600/x
  3. Step 3: Cross multiply
    70,974x = 150,600 × 150,600
  4. Step 4: Simplify right side
    70,974x = 22,680,360,000
  5. Step 5: Solve for x
    x = 22,680,360,000/70,974
  6. Step 6: Final answer
    x = 319,558.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.