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Finding the Third Proportional to 126,177.75 and 193,205.25

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Solution

The third proportional to 126,177.75 and 193,205.25 is: 295,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,177.75 : 193,205.25 = 193,205.25 : x
  2. Step 2: Convert to fraction form
    126,177.75/193,205.25 = 193,205.25/x
  3. Step 3: Cross multiply
    126,177.75x = 193,205.25 × 193,205.25
  4. Step 4: Simplify right side
    126,177.75x = 37,328,268,627.56
  5. Step 5: Solve for x
    x = 37,328,268,627.56/126,177.75
  6. Step 6: Final answer
    x = 295,838.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.