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Finding the Third Proportional to 73,914.75 and 159,704.44

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Solution

The third proportional to 73,914.75 and 159,704.44 is: 345,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.75 : 159,704.44 = 159,704.44 : x
  2. Step 2: Convert to fraction form
    73,914.75/159,704.44 = 159,704.44/x
  3. Step 3: Cross multiply
    73,914.75x = 159,704.44 × 159,704.44
  4. Step 4: Simplify right side
    73,914.75x = 25,505,507,357.19
  5. Step 5: Solve for x
    x = 25,505,507,357.19/73,914.75
  6. Step 6: Final answer
    x = 345,066.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.