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Finding the Third Proportional to 81,904 and 167,264

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Solution

The third proportional to 81,904 and 167,264 is: 341,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904 : 167,264 = 167,264 : x
  2. Step 2: Convert to fraction form
    81,904/167,264 = 167,264/x
  3. Step 3: Cross multiply
    81,904x = 167,264 × 167,264
  4. Step 4: Simplify right side
    81,904x = 27,977,245,696
  5. Step 5: Solve for x
    x = 27,977,245,696/81,904
  6. Step 6: Final answer
    x = 341,585.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.