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Finding the Third Proportional to 76,419 and 167,965

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Solution

The third proportional to 76,419 and 167,965 is: 369,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419 : 167,965 = 167,965 : x
  2. Step 2: Convert to fraction form
    76,419/167,965 = 167,965/x
  3. Step 3: Cross multiply
    76,419x = 167,965 × 167,965
  4. Step 4: Simplify right side
    76,419x = 28,212,241,225
  5. Step 5: Solve for x
    x = 28,212,241,225/76,419
  6. Step 6: Final answer
    x = 369,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.