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Finding the Third Proportional to 126,982 and 189,850

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Solution

The third proportional to 126,982 and 189,850 is: 283,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,982 : 189,850 = 189,850 : x
  2. Step 2: Convert to fraction form
    126,982/189,850 = 189,850/x
  3. Step 3: Cross multiply
    126,982x = 189,850 × 189,850
  4. Step 4: Simplify right side
    126,982x = 36,043,022,500
  5. Step 5: Solve for x
    x = 36,043,022,500/126,982
  6. Step 6: Final answer
    x = 283,843.56

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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.