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Finding the Third Proportional to 73,073 and 159,268

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Solution

The third proportional to 73,073 and 159,268 is: 347,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,073 : 159,268 = 159,268 : x
  2. Step 2: Convert to fraction form
    73,073/159,268 = 159,268/x
  3. Step 3: Cross multiply
    73,073x = 159,268 × 159,268
  4. Step 4: Simplify right side
    73,073x = 25,366,295,824
  5. Step 5: Solve for x
    x = 25,366,295,824/73,073
  6. Step 6: Final answer
    x = 347,136.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.