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Finding the Third Proportional to 36,170 and 79,236

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Solution

The third proportional to 36,170 and 79,236 is: 173,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170 : 79,236 = 79,236 : x
  2. Step 2: Convert to fraction form
    36,170/79,236 = 79,236/x
  3. Step 3: Cross multiply
    36,170x = 79,236 × 79,236
  4. Step 4: Simplify right side
    36,170x = 6,278,343,696
  5. Step 5: Solve for x
    x = 6,278,343,696/36,170
  6. Step 6: Final answer
    x = 173,578.76

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Why These Related Problems?

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