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Finding the Third Proportional to 67,192 and 104,872

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Solution

The third proportional to 67,192 and 104,872 is: 163,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,192 : 104,872 = 104,872 : x
  2. Step 2: Convert to fraction form
    67,192/104,872 = 104,872/x
  3. Step 3: Cross multiply
    67,192x = 104,872 × 104,872
  4. Step 4: Simplify right side
    67,192x = 10,998,136,384
  5. Step 5: Solve for x
    x = 10,998,136,384/67,192
  6. Step 6: Final answer
    x = 163,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.