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Finding the Third Proportional to 43,743 and 95,505

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Solution

The third proportional to 43,743 and 95,505 is: 208,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,743 : 95,505 = 95,505 : x
  2. Step 2: Convert to fraction form
    43,743/95,505 = 95,505/x
  3. Step 3: Cross multiply
    43,743x = 95,505 × 95,505
  4. Step 4: Simplify right side
    43,743x = 9,121,205,025
  5. Step 5: Solve for x
    x = 9,121,205,025/43,743
  6. Step 6: Final answer
    x = 208,518.05

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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.