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Finding the Third Proportional to 49,344 and 110,400

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Solution

The third proportional to 49,344 and 110,400 is: 247,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 110,400 = 110,400 : x
  2. Step 2: Convert to fraction form
    49,344/110,400 = 110,400/x
  3. Step 3: Cross multiply
    49,344x = 110,400 × 110,400
  4. Step 4: Simplify right side
    49,344x = 12,188,160,000
  5. Step 5: Solve for x
    x = 12,188,160,000/49,344
  6. Step 6: Final answer
    x = 247,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.