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Finding the Third Proportional to 126,442 and 189,999

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Solution

The third proportional to 126,442 and 189,999 is: 285,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,442 : 189,999 = 189,999 : x
  2. Step 2: Convert to fraction form
    126,442/189,999 = 189,999/x
  3. Step 3: Cross multiply
    126,442x = 189,999 × 189,999
  4. Step 4: Simplify right side
    126,442x = 36,099,620,001
  5. Step 5: Solve for x
    x = 36,099,620,001/126,442
  6. Step 6: Final answer
    x = 285,503.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.