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Finding the Third Proportional to 92,676 and 188,628

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Solution

The third proportional to 92,676 and 188,628 is: 383,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,676 : 188,628 = 188,628 : x
  2. Step 2: Convert to fraction form
    92,676/188,628 = 188,628/x
  3. Step 3: Cross multiply
    92,676x = 188,628 × 188,628
  4. Step 4: Simplify right side
    92,676x = 35,580,522,384
  5. Step 5: Solve for x
    x = 35,580,522,384/92,676
  6. Step 6: Final answer
    x = 383,923.80

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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.