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Finding the Third Proportional to 129,186 and 188,667

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Solution

The third proportional to 129,186 and 188,667 is: 275,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,186 : 188,667 = 188,667 : x
  2. Step 2: Convert to fraction form
    129,186/188,667 = 188,667/x
  3. Step 3: Cross multiply
    129,186x = 188,667 × 188,667
  4. Step 4: Simplify right side
    129,186x = 35,595,236,889
  5. Step 5: Solve for x
    x = 35,595,236,889/129,186
  6. Step 6: Final answer
    x = 275,534.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.