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Finding the Third Proportional to 43,714 and 95,212

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Solution

The third proportional to 43,714 and 95,212 is: 207,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714 : 95,212 = 95,212 : x
  2. Step 2: Convert to fraction form
    43,714/95,212 = 95,212/x
  3. Step 3: Cross multiply
    43,714x = 95,212 × 95,212
  4. Step 4: Simplify right side
    43,714x = 9,065,324,944
  5. Step 5: Solve for x
    x = 9,065,324,944/43,714
  6. Step 6: Final answer
    x = 207,378.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.