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Finding the Third Proportional to 43,252 and 95,018

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Solution

The third proportional to 43,252 and 95,018 is: 208,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,252 : 95,018 = 95,018 : x
  2. Step 2: Convert to fraction form
    43,252/95,018 = 95,018/x
  3. Step 3: Cross multiply
    43,252x = 95,018 × 95,018
  4. Step 4: Simplify right side
    43,252x = 9,028,420,324
  5. Step 5: Solve for x
    x = 9,028,420,324/43,252
  6. Step 6: Final answer
    x = 208,739.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.