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Finding the Third Proportional to 126,823 and 274,781

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Solution

The third proportional to 126,823 and 274,781 is: 595,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,823 : 274,781 = 274,781 : x
  2. Step 2: Convert to fraction form
    126,823/274,781 = 274,781/x
  3. Step 3: Cross multiply
    126,823x = 274,781 × 274,781
  4. Step 4: Simplify right side
    126,823x = 75,504,597,961
  5. Step 5: Solve for x
    x = 75,504,597,961/126,823
  6. Step 6: Final answer
    x = 595,354.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.