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Finding the Third Proportional to 74,879.44 and 162,217.69

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Solution

The third proportional to 74,879.44 and 162,217.69 is: 351,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,879.44 : 162,217.69 = 162,217.69 : x
  2. Step 2: Convert to fraction form
    74,879.44/162,217.69 = 162,217.69/x
  3. Step 3: Cross multiply
    74,879.44x = 162,217.69 × 162,217.69
  4. Step 4: Simplify right side
    74,879.44x = 26,314,578,137.85
  5. Step 5: Solve for x
    x = 26,314,578,137.85/74,879.44
  6. Step 6: Final answer
    x = 351,425.96

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Why These Related Problems?

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