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Finding the Third Proportional to 67,182 and 104,857

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Solution

The third proportional to 67,182 and 104,857 is: 163,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182 : 104,857 = 104,857 : x
  2. Step 2: Convert to fraction form
    67,182/104,857 = 104,857/x
  3. Step 3: Cross multiply
    67,182x = 104,857 × 104,857
  4. Step 4: Simplify right side
    67,182x = 10,994,990,449
  5. Step 5: Solve for x
    x = 10,994,990,449/67,182
  6. Step 6: Final answer
    x = 163,659.77

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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.