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Finding the Third Proportional to 87,773 and 171,167

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Solution

The third proportional to 87,773 and 171,167 is: 333,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773 : 171,167 = 171,167 : x
  2. Step 2: Convert to fraction form
    87,773/171,167 = 171,167/x
  3. Step 3: Cross multiply
    87,773x = 171,167 × 171,167
  4. Step 4: Simplify right side
    87,773x = 29,298,141,889
  5. Step 5: Solve for x
    x = 29,298,141,889/87,773
  6. Step 6: Final answer
    x = 333,794.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.