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Finding the Third Proportional to 93,922 and 192,162

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Solution

The third proportional to 93,922 and 192,162 is: 393,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,922 : 192,162 = 192,162 : x
  2. Step 2: Convert to fraction form
    93,922/192,162 = 192,162/x
  3. Step 3: Cross multiply
    93,922x = 192,162 × 192,162
  4. Step 4: Simplify right side
    93,922x = 36,926,234,244
  5. Step 5: Solve for x
    x = 36,926,234,244/93,922
  6. Step 6: Final answer
    x = 393,158.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.