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Finding the Third Proportional to 123,760 and 192,104

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Solution

The third proportional to 123,760 and 192,104 is: 298,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760 : 192,104 = 192,104 : x
  2. Step 2: Convert to fraction form
    123,760/192,104 = 192,104/x
  3. Step 3: Cross multiply
    123,760x = 192,104 × 192,104
  4. Step 4: Simplify right side
    123,760x = 36,903,946,816
  5. Step 5: Solve for x
    x = 36,903,946,816/123,760
  6. Step 6: Final answer
    x = 298,189.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.