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Finding the Third Proportional to 126,651 and 200,544

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Solution

The third proportional to 126,651 and 200,544 is: 317,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,651 : 200,544 = 200,544 : x
  2. Step 2: Convert to fraction form
    126,651/200,544 = 200,544/x
  3. Step 3: Cross multiply
    126,651x = 200,544 × 200,544
  4. Step 4: Simplify right side
    126,651x = 40,217,895,936
  5. Step 5: Solve for x
    x = 40,217,895,936/126,651
  6. Step 6: Final answer
    x = 317,548.98

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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.