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Finding the Third Proportional to 79,574 and 173,212

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Solution

The third proportional to 79,574 and 173,212 is: 377,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,574 : 173,212 = 173,212 : x
  2. Step 2: Convert to fraction form
    79,574/173,212 = 173,212/x
  3. Step 3: Cross multiply
    79,574x = 173,212 × 173,212
  4. Step 4: Simplify right side
    79,574x = 30,002,396,944
  5. Step 5: Solve for x
    x = 30,002,396,944/79,574
  6. Step 6: Final answer
    x = 377,037.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.