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Finding the Third Proportional to 82,081.69 and 179,732.67

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Solution

The third proportional to 82,081.69 and 179,732.67 is: 393,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,081.69 : 179,732.67 = 179,732.67 : x
  2. Step 2: Convert to fraction form
    82,081.69/179,732.67 = 179,732.67/x
  3. Step 3: Cross multiply
    82,081.69x = 179,732.67 × 179,732.67
  4. Step 4: Simplify right side
    82,081.69x = 32,303,833,339.33
  5. Step 5: Solve for x
    x = 32,303,833,339.33/82,081.69
  6. Step 6: Final answer
    x = 393,557.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.