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Finding the Third Proportional to 92,706 and 188,682

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Solution

The third proportional to 92,706 and 188,682 is: 384,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,706 : 188,682 = 188,682 : x
  2. Step 2: Convert to fraction form
    92,706/188,682 = 188,682/x
  3. Step 3: Cross multiply
    92,706x = 188,682 × 188,682
  4. Step 4: Simplify right side
    92,706x = 35,600,897,124
  5. Step 5: Solve for x
    x = 35,600,897,124/92,706
  6. Step 6: Final answer
    x = 384,019.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.