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Finding the Third Proportional to 72,645 and 159,668

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Solution

The third proportional to 72,645 and 159,668 is: 350,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,645 : 159,668 = 159,668 : x
  2. Step 2: Convert to fraction form
    72,645/159,668 = 159,668/x
  3. Step 3: Cross multiply
    72,645x = 159,668 × 159,668
  4. Step 4: Simplify right side
    72,645x = 25,493,870,224
  5. Step 5: Solve for x
    x = 25,493,870,224/72,645
  6. Step 6: Final answer
    x = 350,937.71

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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.