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Finding the Third Proportional to 123,687 and 191,997

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Solution

The third proportional to 123,687 and 191,997 is: 298,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,687 : 191,997 = 191,997 : x
  2. Step 2: Convert to fraction form
    123,687/191,997 = 191,997/x
  3. Step 3: Cross multiply
    123,687x = 191,997 × 191,997
  4. Step 4: Simplify right side
    123,687x = 36,862,848,009
  5. Step 5: Solve for x
    x = 36,862,848,009/123,687
  6. Step 6: Final answer
    x = 298,033.33

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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.