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Finding the Third Proportional to 43,494 and 95,980

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Solution

The third proportional to 43,494 and 95,980 is: 211,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494 : 95,980 = 95,980 : x
  2. Step 2: Convert to fraction form
    43,494/95,980 = 95,980/x
  3. Step 3: Cross multiply
    43,494x = 95,980 × 95,980
  4. Step 4: Simplify right side
    43,494x = 9,212,160,400
  5. Step 5: Solve for x
    x = 9,212,160,400/43,494
  6. Step 6: Final answer
    x = 211,803.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.