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Finding the Third Proportional to 73,578.56 and 155,912.06

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Solution

The third proportional to 73,578.56 and 155,912.06 is: 330,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,578.56 : 155,912.06 = 155,912.06 : x
  2. Step 2: Convert to fraction form
    73,578.56/155,912.06 = 155,912.06/x
  3. Step 3: Cross multiply
    73,578.56x = 155,912.06 × 155,912.06
  4. Step 4: Simplify right side
    73,578.56x = 24,308,571,233.00
  5. Step 5: Solve for x
    x = 24,308,571,233.00/73,578.56
  6. Step 6: Final answer
    x = 330,375.73

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Why These Related Problems?

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