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Finding the Third Proportional to 126,248 and 189,698

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Solution

The third proportional to 126,248 and 189,698 is: 285,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 189,698 = 189,698 : x
  2. Step 2: Convert to fraction form
    126,248/189,698 = 189,698/x
  3. Step 3: Cross multiply
    126,248x = 189,698 × 189,698
  4. Step 4: Simplify right side
    126,248x = 35,985,331,204
  5. Step 5: Solve for x
    x = 35,985,331,204/126,248
  6. Step 6: Final answer
    x = 285,036.84

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