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Finding the Third Proportional to 126,864 and 194,366

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Solution

The third proportional to 126,864 and 194,366 is: 297,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,864 : 194,366 = 194,366 : x
  2. Step 2: Convert to fraction form
    126,864/194,366 = 194,366/x
  3. Step 3: Cross multiply
    126,864x = 194,366 × 194,366
  4. Step 4: Simplify right side
    126,864x = 37,778,141,956
  5. Step 5: Solve for x
    x = 37,778,141,956/126,864
  6. Step 6: Final answer
    x = 297,784.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.