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Finding the Third Proportional to 126,248 and 273,956

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Solution

The third proportional to 126,248 and 273,956 is: 594,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 273,956 = 273,956 : x
  2. Step 2: Convert to fraction form
    126,248/273,956 = 273,956/x
  3. Step 3: Cross multiply
    126,248x = 273,956 × 273,956
  4. Step 4: Simplify right side
    126,248x = 75,051,889,936
  5. Step 5: Solve for x
    x = 75,051,889,936/126,248
  6. Step 6: Final answer
    x = 594,479.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.