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Finding the Third Proportional to 43,720 and 95,226

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Solution

The third proportional to 43,720 and 95,226 is: 207,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,720 : 95,226 = 95,226 : x
  2. Step 2: Convert to fraction form
    43,720/95,226 = 95,226/x
  3. Step 3: Cross multiply
    43,720x = 95,226 × 95,226
  4. Step 4: Simplify right side
    43,720x = 9,067,991,076
  5. Step 5: Solve for x
    x = 9,067,991,076/43,720
  6. Step 6: Final answer
    x = 207,410.59

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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.