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Finding the Third Proportional to 76,625 and 162,463

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Solution

The third proportional to 76,625 and 162,463 is: 344,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625 : 162,463 = 162,463 : x
  2. Step 2: Convert to fraction form
    76,625/162,463 = 162,463/x
  3. Step 3: Cross multiply
    76,625x = 162,463 × 162,463
  4. Step 4: Simplify right side
    76,625x = 26,394,226,369
  5. Step 5: Solve for x
    x = 26,394,226,369/76,625
  6. Step 6: Final answer
    x = 344,459.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.