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Finding the Third Proportional to 49,512 and 103,104

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Solution

The third proportional to 49,512 and 103,104 is: 214,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,512 : 103,104 = 103,104 : x
  2. Step 2: Convert to fraction form
    49,512/103,104 = 103,104/x
  3. Step 3: Cross multiply
    49,512x = 103,104 × 103,104
  4. Step 4: Simplify right side
    49,512x = 10,630,434,816
  5. Step 5: Solve for x
    x = 10,630,434,816/49,512
  6. Step 6: Final answer
    x = 214,704.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.