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Finding the Third Proportional to 50,191.50 and 111,454.50

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Solution

The third proportional to 50,191.50 and 111,454.50 is: 247,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,191.50 : 111,454.50 = 111,454.50 : x
  2. Step 2: Convert to fraction form
    50,191.50/111,454.50 = 111,454.50/x
  3. Step 3: Cross multiply
    50,191.50x = 111,454.50 × 111,454.50
  4. Step 4: Simplify right side
    50,191.50x = 12,422,105,570.25
  5. Step 5: Solve for x
    x = 12,422,105,570.25/50,191.50
  6. Step 6: Final answer
    x = 247,494.21

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Why These Related Problems?

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