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Finding the Third Proportional to 47,980 and 105,500

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Solution

The third proportional to 47,980 and 105,500 is: 231,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980 : 105,500 = 105,500 : x
  2. Step 2: Convert to fraction form
    47,980/105,500 = 105,500/x
  3. Step 3: Cross multiply
    47,980x = 105,500 × 105,500
  4. Step 4: Simplify right side
    47,980x = 11,130,250,000
  5. Step 5: Solve for x
    x = 11,130,250,000/47,980
  6. Step 6: Final answer
    x = 231,976.87

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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.