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Finding the Third Proportional to 49,446 and 109,980

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Solution

The third proportional to 49,446 and 109,980 is: 244,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,446 : 109,980 = 109,980 : x
  2. Step 2: Convert to fraction form
    49,446/109,980 = 109,980/x
  3. Step 3: Cross multiply
    49,446x = 109,980 × 109,980
  4. Step 4: Simplify right side
    49,446x = 12,095,600,400
  5. Step 5: Solve for x
    x = 12,095,600,400/49,446
  6. Step 6: Final answer
    x = 244,622.42

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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.