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Finding the Third Proportional to 73,511.50 and 159,469.75

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Solution

The third proportional to 73,511.50 and 159,469.75 is: 345,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,511.50 : 159,469.75 = 159,469.75 : x
  2. Step 2: Convert to fraction form
    73,511.50/159,469.75 = 159,469.75/x
  3. Step 3: Cross multiply
    73,511.50x = 159,469.75 × 159,469.75
  4. Step 4: Simplify right side
    73,511.50x = 25,430,601,165.06
  5. Step 5: Solve for x
    x = 25,430,601,165.06/73,511.50
  6. Step 6: Final answer
    x = 345,940.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.