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Finding the Third Proportional to 71,770 and 167,634

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Solution

The third proportional to 71,770 and 167,634 is: 391,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770 : 167,634 = 167,634 : x
  2. Step 2: Convert to fraction form
    71,770/167,634 = 167,634/x
  3. Step 3: Cross multiply
    71,770x = 167,634 × 167,634
  4. Step 4: Simplify right side
    71,770x = 28,101,157,956
  5. Step 5: Solve for x
    x = 28,101,157,956/71,770
  6. Step 6: Final answer
    x = 391,544.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.