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Finding the Third Proportional to 76,634.44 and 167,061.56

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Solution

The third proportional to 76,634.44 and 167,061.56 is: 364,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.44 : 167,061.56 = 167,061.56 : x
  2. Step 2: Convert to fraction form
    76,634.44/167,061.56 = 167,061.56/x
  3. Step 3: Cross multiply
    76,634.44x = 167,061.56 × 167,061.56
  4. Step 4: Simplify right side
    76,634.44x = 27,909,565,664.94
  5. Step 5: Solve for x
    x = 27,909,565,664.94/76,634.44
  6. Step 6: Final answer
    x = 364,190.91

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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.