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Finding the Third Proportional to 109,192 and 167,244

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Solution

The third proportional to 109,192 and 167,244 is: 256,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,192 : 167,244 = 167,244 : x
  2. Step 2: Convert to fraction form
    109,192/167,244 = 167,244/x
  3. Step 3: Cross multiply
    109,192x = 167,244 × 167,244
  4. Step 4: Simplify right side
    109,192x = 27,970,555,536
  5. Step 5: Solve for x
    x = 27,970,555,536/109,192
  6. Step 6: Final answer
    x = 256,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.