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Finding the Third Proportional to 126,326 and 271,768

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Solution

The third proportional to 126,326 and 271,768 is: 584,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,326 : 271,768 = 271,768 : x
  2. Step 2: Convert to fraction form
    126,326/271,768 = 271,768/x
  3. Step 3: Cross multiply
    126,326x = 271,768 × 271,768
  4. Step 4: Simplify right side
    126,326x = 73,857,845,824
  5. Step 5: Solve for x
    x = 73,857,845,824/126,326
  6. Step 6: Final answer
    x = 584,660.69

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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.