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Finding the Third Proportional to 126,524.50 and 191,093.75

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Solution

The third proportional to 126,524.50 and 191,093.75 is: 288,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,524.50 : 191,093.75 = 191,093.75 : x
  2. Step 2: Convert to fraction form
    126,524.50/191,093.75 = 191,093.75/x
  3. Step 3: Cross multiply
    126,524.50x = 191,093.75 × 191,093.75
  4. Step 4: Simplify right side
    126,524.50x = 36,516,821,289.06
  5. Step 5: Solve for x
    x = 36,516,821,289.06/126,524.50
  6. Step 6: Final answer
    x = 288,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.