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Finding the Third Proportional to 43,811 and 95,281

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Solution

The third proportional to 43,811 and 95,281 is: 207,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,811 : 95,281 = 95,281 : x
  2. Step 2: Convert to fraction form
    43,811/95,281 = 95,281/x
  3. Step 3: Cross multiply
    43,811x = 95,281 × 95,281
  4. Step 4: Simplify right side
    43,811x = 9,078,468,961
  5. Step 5: Solve for x
    x = 9,078,468,961/43,811
  6. Step 6: Final answer
    x = 207,218.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.