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Finding the Third Proportional to 51,414 and 104,259

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Solution

The third proportional to 51,414 and 104,259 is: 211,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414 : 104,259 = 104,259 : x
  2. Step 2: Convert to fraction form
    51,414/104,259 = 104,259/x
  3. Step 3: Cross multiply
    51,414x = 104,259 × 104,259
  4. Step 4: Simplify right side
    51,414x = 10,869,939,081
  5. Step 5: Solve for x
    x = 10,869,939,081/51,414
  6. Step 6: Final answer
    x = 211,419.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.