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Finding the Third Proportional to 50,988 and 111,825

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Solution

The third proportional to 50,988 and 111,825 is: 245,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,988 : 111,825 = 111,825 : x
  2. Step 2: Convert to fraction form
    50,988/111,825 = 111,825/x
  3. Step 3: Cross multiply
    50,988x = 111,825 × 111,825
  4. Step 4: Simplify right side
    50,988x = 12,504,830,625
  5. Step 5: Solve for x
    x = 12,504,830,625/50,988
  6. Step 6: Final answer
    x = 245,250.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.