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Finding the Third Proportional to 50,282 and 110,608

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Solution

The third proportional to 50,282 and 110,608 is: 243,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,282 : 110,608 = 110,608 : x
  2. Step 2: Convert to fraction form
    50,282/110,608 = 110,608/x
  3. Step 3: Cross multiply
    50,282x = 110,608 × 110,608
  4. Step 4: Simplify right side
    50,282x = 12,234,129,664
  5. Step 5: Solve for x
    x = 12,234,129,664/50,282
  6. Step 6: Final answer
    x = 243,310.32

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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.