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Finding the Third Proportional to 70,096.50 and 150,885

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Solution

The third proportional to 70,096.50 and 150,885 is: 324,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096.50 : 150,885 = 150,885 : x
  2. Step 2: Convert to fraction form
    70,096.50/150,885 = 150,885/x
  3. Step 3: Cross multiply
    70,096.50x = 150,885 × 150,885
  4. Step 4: Simplify right side
    70,096.50x = 22,766,283,225
  5. Step 5: Solve for x
    x = 22,766,283,225/70,096.50
  6. Step 6: Final answer
    x = 324,784.88

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Why These Related Problems?

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