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Finding the Third Proportional to 92,121 and 191,166

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Solution

The third proportional to 92,121 and 191,166 is: 396,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,121 : 191,166 = 191,166 : x
  2. Step 2: Convert to fraction form
    92,121/191,166 = 191,166/x
  3. Step 3: Cross multiply
    92,121x = 191,166 × 191,166
  4. Step 4: Simplify right side
    92,121x = 36,544,439,556
  5. Step 5: Solve for x
    x = 36,544,439,556/92,121
  6. Step 6: Final answer
    x = 396,700.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.