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Finding the Third Proportional to 76,518 and 166,589

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Solution

The third proportional to 76,518 and 166,589 is: 362,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,518 : 166,589 = 166,589 : x
  2. Step 2: Convert to fraction form
    76,518/166,589 = 166,589/x
  3. Step 3: Cross multiply
    76,518x = 166,589 × 166,589
  4. Step 4: Simplify right side
    76,518x = 27,751,894,921
  5. Step 5: Solve for x
    x = 27,751,894,921/76,518
  6. Step 6: Final answer
    x = 362,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.