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Finding the Third Proportional to 76,555 and 167,761

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Solution

The third proportional to 76,555 and 167,761 is: 367,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,555 : 167,761 = 167,761 : x
  2. Step 2: Convert to fraction form
    76,555/167,761 = 167,761/x
  3. Step 3: Cross multiply
    76,555x = 167,761 × 167,761
  4. Step 4: Simplify right side
    76,555x = 28,143,753,121
  5. Step 5: Solve for x
    x = 28,143,753,121/76,555
  6. Step 6: Final answer
    x = 367,627.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.