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Finding the Third Proportional to 50,286 and 110,616

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Solution

The third proportional to 50,286 and 110,616 is: 243,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,286 : 110,616 = 110,616 : x
  2. Step 2: Convert to fraction form
    50,286/110,616 = 110,616/x
  3. Step 3: Cross multiply
    50,286x = 110,616 × 110,616
  4. Step 4: Simplify right side
    50,286x = 12,235,899,456
  5. Step 5: Solve for x
    x = 12,235,899,456/50,286
  6. Step 6: Final answer
    x = 243,326.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.