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Finding the Third Proportional to 72,813 and 159,901

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Solution

The third proportional to 72,813 and 159,901 is: 351,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,813 : 159,901 = 159,901 : x
  2. Step 2: Convert to fraction form
    72,813/159,901 = 159,901/x
  3. Step 3: Cross multiply
    72,813x = 159,901 × 159,901
  4. Step 4: Simplify right side
    72,813x = 25,568,329,801
  5. Step 5: Solve for x
    x = 25,568,329,801/72,813
  6. Step 6: Final answer
    x = 351,150.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.