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Finding the Third Proportional to 126,666 and 200,562

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Solution

The third proportional to 126,666 and 200,562 is: 317,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,666 : 200,562 = 200,562 : x
  2. Step 2: Convert to fraction form
    126,666/200,562 = 200,562/x
  3. Step 3: Cross multiply
    126,666x = 200,562 × 200,562
  4. Step 4: Simplify right side
    126,666x = 40,225,115,844
  5. Step 5: Solve for x
    x = 40,225,115,844/126,666
  6. Step 6: Final answer
    x = 317,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.