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Finding the Third Proportional to 76,519.69 and 166,144.22

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Solution

The third proportional to 76,519.69 and 166,144.22 is: 360,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519.69 : 166,144.22 = 166,144.22 : x
  2. Step 2: Convert to fraction form
    76,519.69/166,144.22 = 166,144.22/x
  3. Step 3: Cross multiply
    76,519.69x = 166,144.22 × 166,144.22
  4. Step 4: Simplify right side
    76,519.69x = 27,603,901,424.05
  5. Step 5: Solve for x
    x = 27,603,901,424.05/76,519.69
  6. Step 6: Final answer
    x = 360,742.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.