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Finding the Third Proportional to 49,536 and 110,120

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Solution

The third proportional to 49,536 and 110,120 is: 244,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536 : 110,120 = 110,120 : x
  2. Step 2: Convert to fraction form
    49,536/110,120 = 110,120/x
  3. Step 3: Cross multiply
    49,536x = 110,120 × 110,120
  4. Step 4: Simplify right side
    49,536x = 12,126,414,400
  5. Step 5: Solve for x
    x = 12,126,414,400/49,536
  6. Step 6: Final answer
    x = 244,800.03

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Why These Related Problems?

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