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Finding the Third Proportional to 126,523.75 and 191,092.75

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Solution

The third proportional to 126,523.75 and 191,092.75 is: 288,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,523.75 : 191,092.75 = 191,092.75 : x
  2. Step 2: Convert to fraction form
    126,523.75/191,092.75 = 191,092.75/x
  3. Step 3: Cross multiply
    126,523.75x = 191,092.75 × 191,092.75
  4. Step 4: Simplify right side
    126,523.75x = 36,516,439,102.56
  5. Step 5: Solve for x
    x = 36,516,439,102.56/126,523.75
  6. Step 6: Final answer
    x = 288,613.32

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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.