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Finding the Third Proportional to 123,906 and 192,131

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Solution

The third proportional to 123,906 and 192,131 is: 297,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,906 : 192,131 = 192,131 : x
  2. Step 2: Convert to fraction form
    123,906/192,131 = 192,131/x
  3. Step 3: Cross multiply
    123,906x = 192,131 × 192,131
  4. Step 4: Simplify right side
    123,906x = 36,914,321,161
  5. Step 5: Solve for x
    x = 36,914,321,161/123,906
  6. Step 6: Final answer
    x = 297,921.98

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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.