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Finding the Third Proportional to 123,762 and 192,107

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Solution

The third proportional to 123,762 and 192,107 is: 298,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,762 : 192,107 = 192,107 : x
  2. Step 2: Convert to fraction form
    123,762/192,107 = 192,107/x
  3. Step 3: Cross multiply
    123,762x = 192,107 × 192,107
  4. Step 4: Simplify right side
    123,762x = 36,905,099,449
  5. Step 5: Solve for x
    x = 36,905,099,449/123,762
  6. Step 6: Final answer
    x = 298,194.11

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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.