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Finding the Third Proportional to 80,322.75 and 119,607.19

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Solution

The third proportional to 80,322.75 and 119,607.19 is: 178,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,322.75 : 119,607.19 = 119,607.19 : x
  2. Step 2: Convert to fraction form
    80,322.75/119,607.19 = 119,607.19/x
  3. Step 3: Cross multiply
    80,322.75x = 119,607.19 × 119,607.19
  4. Step 4: Simplify right side
    80,322.75x = 14,305,879,301.66
  5. Step 5: Solve for x
    x = 14,305,879,301.66/80,322.75
  6. Step 6: Final answer
    x = 178,104.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.