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Finding the Third Proportional to 79,694 and 171,683

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Solution

The third proportional to 79,694 and 171,683 is: 369,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,694 : 171,683 = 171,683 : x
  2. Step 2: Convert to fraction form
    79,694/171,683 = 171,683/x
  3. Step 3: Cross multiply
    79,694x = 171,683 × 171,683
  4. Step 4: Simplify right side
    79,694x = 29,475,052,489
  5. Step 5: Solve for x
    x = 29,475,052,489/79,694
  6. Step 6: Final answer
    x = 369,852.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.