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Finding the Third Proportional to 136,204 and 190,694

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Solution

The third proportional to 136,204 and 190,694 is: 266,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,204 : 190,694 = 190,694 : x
  2. Step 2: Convert to fraction form
    136,204/190,694 = 190,694/x
  3. Step 3: Cross multiply
    136,204x = 190,694 × 190,694
  4. Step 4: Simplify right side
    136,204x = 36,364,201,636
  5. Step 5: Solve for x
    x = 36,364,201,636/136,204
  6. Step 6: Final answer
    x = 266,983.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.