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Finding the Third Proportional to 71,409.94 and 169,183.69

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Solution

The third proportional to 71,409.94 and 169,183.69 is: 400,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.94 : 169,183.69 = 169,183.69 : x
  2. Step 2: Convert to fraction form
    71,409.94/169,183.69 = 169,183.69/x
  3. Step 3: Cross multiply
    71,409.94x = 169,183.69 × 169,183.69
  4. Step 4: Simplify right side
    71,409.94x = 28,623,120,116.10
  5. Step 5: Solve for x
    x = 28,623,120,116.10/71,409.94
  6. Step 6: Final answer
    x = 400,828.25

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.