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Finding the Third Proportional to 50,544.50 and 78,481.75

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Solution

The third proportional to 50,544.50 and 78,481.75 is: 121,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,544.50 : 78,481.75 = 78,481.75 : x
  2. Step 2: Convert to fraction form
    50,544.50/78,481.75 = 78,481.75/x
  3. Step 3: Cross multiply
    50,544.50x = 78,481.75 × 78,481.75
  4. Step 4: Simplify right side
    50,544.50x = 6,159,385,083.06
  5. Step 5: Solve for x
    x = 6,159,385,083.06/50,544.50
  6. Step 6: Final answer
    x = 121,860.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.