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Finding the Third Proportional to 50,458.50 and 118,944.75

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Solution

The third proportional to 50,458.50 and 118,944.75 is: 280,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.50 : 118,944.75 = 118,944.75 : x
  2. Step 2: Convert to fraction form
    50,458.50/118,944.75 = 118,944.75/x
  3. Step 3: Cross multiply
    50,458.50x = 118,944.75 × 118,944.75
  4. Step 4: Simplify right side
    50,458.50x = 14,147,853,552.56
  5. Step 5: Solve for x
    x = 14,147,853,552.56/50,458.50
  6. Step 6: Final answer
    x = 280,385.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.