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Finding the Third Proportional to 126,147 and 271,878

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Solution

The third proportional to 126,147 and 271,878 is: 585,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,147 : 271,878 = 271,878 : x
  2. Step 2: Convert to fraction form
    126,147/271,878 = 271,878/x
  3. Step 3: Cross multiply
    126,147x = 271,878 × 271,878
  4. Step 4: Simplify right side
    126,147x = 73,917,646,884
  5. Step 5: Solve for x
    x = 73,917,646,884/126,147
  6. Step 6: Final answer
    x = 585,964.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.