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Finding the Third Proportional to 126,591.75 and 274,917

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Solution

The third proportional to 126,591.75 and 274,917 is: 597,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,591.75 : 274,917 = 274,917 : x
  2. Step 2: Convert to fraction form
    126,591.75/274,917 = 274,917/x
  3. Step 3: Cross multiply
    126,591.75x = 274,917 × 274,917
  4. Step 4: Simplify right side
    126,591.75x = 75,579,356,889
  5. Step 5: Solve for x
    x = 75,579,356,889/126,591.75
  6. Step 6: Final answer
    x = 597,032.25

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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.