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Finding the Third Proportional to 77,638 and 167,162

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Solution

The third proportional to 77,638 and 167,162 is: 359,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638 : 167,162 = 167,162 : x
  2. Step 2: Convert to fraction form
    77,638/167,162 = 167,162/x
  3. Step 3: Cross multiply
    77,638x = 167,162 × 167,162
  4. Step 4: Simplify right side
    77,638x = 27,943,134,244
  5. Step 5: Solve for x
    x = 27,943,134,244/77,638
  6. Step 6: Final answer
    x = 359,915.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.