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Finding the Third Proportional to 76,539 and 167,847

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Solution

The third proportional to 76,539 and 167,847 is: 368,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539 : 167,847 = 167,847 : x
  2. Step 2: Convert to fraction form
    76,539/167,847 = 167,847/x
  3. Step 3: Cross multiply
    76,539x = 167,847 × 167,847
  4. Step 4: Simplify right side
    76,539x = 28,172,615,409
  5. Step 5: Solve for x
    x = 28,172,615,409/76,539
  6. Step 6: Final answer
    x = 368,081.83

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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.