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Finding the Third Proportional to 126,994 and 189,867

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Solution

The third proportional to 126,994 and 189,867 is: 283,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,994 : 189,867 = 189,867 : x
  2. Step 2: Convert to fraction form
    126,994/189,867 = 189,867/x
  3. Step 3: Cross multiply
    126,994x = 189,867 × 189,867
  4. Step 4: Simplify right side
    126,994x = 36,049,477,689
  5. Step 5: Solve for x
    x = 36,049,477,689/126,994
  6. Step 6: Final answer
    x = 283,867.57

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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.