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Finding the Third Proportional to 79,694 and 187,856

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Solution

The third proportional to 79,694 and 187,856 is: 442,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,694 : 187,856 = 187,856 : x
  2. Step 2: Convert to fraction form
    79,694/187,856 = 187,856/x
  3. Step 3: Cross multiply
    79,694x = 187,856 × 187,856
  4. Step 4: Simplify right side
    79,694x = 35,289,876,736
  5. Step 5: Solve for x
    x = 35,289,876,736/79,694
  6. Step 6: Final answer
    x = 442,817.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.