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Finding the Third Proportional to 31,171 and 66,809

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Solution

The third proportional to 31,171 and 66,809 is: 143,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171 : 66,809 = 66,809 : x
  2. Step 2: Convert to fraction form
    31,171/66,809 = 66,809/x
  3. Step 3: Cross multiply
    31,171x = 66,809 × 66,809
  4. Step 4: Simplify right side
    31,171x = 4,463,442,481
  5. Step 5: Solve for x
    x = 4,463,442,481/31,171
  6. Step 6: Final answer
    x = 143,192.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.