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Finding the Third Proportional to 76,168 and 167,105

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Solution

The third proportional to 76,168 and 167,105 is: 366,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168 : 167,105 = 167,105 : x
  2. Step 2: Convert to fraction form
    76,168/167,105 = 167,105/x
  3. Step 3: Cross multiply
    76,168x = 167,105 × 167,105
  4. Step 4: Simplify right side
    76,168x = 27,924,081,025
  5. Step 5: Solve for x
    x = 27,924,081,025/76,168
  6. Step 6: Final answer
    x = 366,611.71

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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.