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Finding the Third Proportional to 124,440 and 192,162

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Solution

The third proportional to 124,440 and 192,162 is: 296,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,440 : 192,162 = 192,162 : x
  2. Step 2: Convert to fraction form
    124,440/192,162 = 192,162/x
  3. Step 3: Cross multiply
    124,440x = 192,162 × 192,162
  4. Step 4: Simplify right side
    124,440x = 36,926,234,244
  5. Step 5: Solve for x
    x = 36,926,234,244/124,440
  6. Step 6: Final answer
    x = 296,739.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.