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Finding the Third Proportional to 50,923 and 111,687

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Solution

The third proportional to 50,923 and 111,687 is: 244,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923 : 111,687 = 111,687 : x
  2. Step 2: Convert to fraction form
    50,923/111,687 = 111,687/x
  3. Step 3: Cross multiply
    50,923x = 111,687 × 111,687
  4. Step 4: Simplify right side
    50,923x = 12,473,985,969
  5. Step 5: Solve for x
    x = 12,473,985,969/50,923
  6. Step 6: Final answer
    x = 244,957.80

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