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Finding the Third Proportional to 126,696 and 200,610

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Solution

The third proportional to 126,696 and 200,610 is: 317,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,696 : 200,610 = 200,610 : x
  2. Step 2: Convert to fraction form
    126,696/200,610 = 200,610/x
  3. Step 3: Cross multiply
    126,696x = 200,610 × 200,610
  4. Step 4: Simplify right side
    126,696x = 40,244,372,100
  5. Step 5: Solve for x
    x = 40,244,372,100/126,696
  6. Step 6: Final answer
    x = 317,645.17

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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.