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Finding the Third Proportional to 126,206 and 271,852

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Solution

The third proportional to 126,206 and 271,852 is: 585,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,206 : 271,852 = 271,852 : x
  2. Step 2: Convert to fraction form
    126,206/271,852 = 271,852/x
  3. Step 3: Cross multiply
    126,206x = 271,852 × 271,852
  4. Step 4: Simplify right side
    126,206x = 73,903,509,904
  5. Step 5: Solve for x
    x = 73,903,509,904/126,206
  6. Step 6: Final answer
    x = 585,578.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.