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Finding the Third Proportional to 71,774 and 167,645

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Solution

The third proportional to 71,774 and 167,645 is: 391,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774 : 167,645 = 167,645 : x
  2. Step 2: Convert to fraction form
    71,774/167,645 = 167,645/x
  3. Step 3: Cross multiply
    71,774x = 167,645 × 167,645
  4. Step 4: Simplify right side
    71,774x = 28,104,846,025
  5. Step 5: Solve for x
    x = 28,104,846,025/71,774
  6. Step 6: Final answer
    x = 391,574.19

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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.