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Finding the Third Proportional to 126,464 and 189,366

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Solution

The third proportional to 126,464 and 189,366 is: 283,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,464 : 189,366 = 189,366 : x
  2. Step 2: Convert to fraction form
    126,464/189,366 = 189,366/x
  3. Step 3: Cross multiply
    126,464x = 189,366 × 189,366
  4. Step 4: Simplify right side
    126,464x = 35,859,481,956
  5. Step 5: Solve for x
    x = 35,859,481,956/126,464
  6. Step 6: Final answer
    x = 283,554.86

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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.