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Finding the Third Proportional to 49,456 and 110,000

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Solution

The third proportional to 49,456 and 110,000 is: 244,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456 : 110,000 = 110,000 : x
  2. Step 2: Convert to fraction form
    49,456/110,000 = 110,000/x
  3. Step 3: Cross multiply
    49,456x = 110,000 × 110,000
  4. Step 4: Simplify right side
    49,456x = 12,100,000,000
  5. Step 5: Solve for x
    x = 12,100,000,000/49,456
  6. Step 6: Final answer
    x = 244,661.92

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.