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Finding the Third Proportional to 50,830 and 111,474

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Solution

The third proportional to 50,830 and 111,474 is: 244,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830 : 111,474 = 111,474 : x
  2. Step 2: Convert to fraction form
    50,830/111,474 = 111,474/x
  3. Step 3: Cross multiply
    50,830x = 111,474 × 111,474
  4. Step 4: Simplify right side
    50,830x = 12,426,452,676
  5. Step 5: Solve for x
    x = 12,426,452,676/50,830
  6. Step 6: Final answer
    x = 244,470.84

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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.