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Finding the Third Proportional to 76,864 and 167,192

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Solution

The third proportional to 76,864 and 167,192 is: 363,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 167,192 = 167,192 : x
  2. Step 2: Convert to fraction form
    76,864/167,192 = 167,192/x
  3. Step 3: Cross multiply
    76,864x = 167,192 × 167,192
  4. Step 4: Simplify right side
    76,864x = 27,953,164,864
  5. Step 5: Solve for x
    x = 27,953,164,864/76,864
  6. Step 6: Final answer
    x = 363,670.44

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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.