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Finding the Third Proportional to 50,794 and 111,430

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Solution

The third proportional to 50,794 and 111,430 is: 244,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794 : 111,430 = 111,430 : x
  2. Step 2: Convert to fraction form
    50,794/111,430 = 111,430/x
  3. Step 3: Cross multiply
    50,794x = 111,430 × 111,430
  4. Step 4: Simplify right side
    50,794x = 12,416,644,900
  5. Step 5: Solve for x
    x = 12,416,644,900/50,794
  6. Step 6: Final answer
    x = 244,451.02

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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.