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Finding the Third Proportional to 50,187.75 and 111,447

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Solution

The third proportional to 50,187.75 and 111,447 is: 247,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,187.75 : 111,447 = 111,447 : x
  2. Step 2: Convert to fraction form
    50,187.75/111,447 = 111,447/x
  3. Step 3: Cross multiply
    50,187.75x = 111,447 × 111,447
  4. Step 4: Simplify right side
    50,187.75x = 12,420,433,809
  5. Step 5: Solve for x
    x = 12,420,433,809/50,187.75
  6. Step 6: Final answer
    x = 247,479.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.