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Finding the Third Proportional to 79,244 and 169,176

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Solution

The third proportional to 79,244 and 169,176 is: 361,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,244 : 169,176 = 169,176 : x
  2. Step 2: Convert to fraction form
    79,244/169,176 = 169,176/x
  3. Step 3: Cross multiply
    79,244x = 169,176 × 169,176
  4. Step 4: Simplify right side
    79,244x = 28,620,518,976
  5. Step 5: Solve for x
    x = 28,620,518,976/79,244
  6. Step 6: Final answer
    x = 361,169.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.