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Finding the Third Proportional to 131,194.69 and 185,793.75

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Solution

The third proportional to 131,194.69 and 185,793.75 is: 263,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,194.69 : 185,793.75 = 185,793.75 : x
  2. Step 2: Convert to fraction form
    131,194.69/185,793.75 = 185,793.75/x
  3. Step 3: Cross multiply
    131,194.69x = 185,793.75 × 185,793.75
  4. Step 4: Simplify right side
    131,194.69x = 34,519,317,539.06
  5. Step 5: Solve for x
    x = 34,519,317,539.06/131,194.69
  6. Step 6: Final answer
    x = 263,115.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.