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Finding the Third Proportional to 76,625 and 162,465

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Solution

The third proportional to 76,625 and 162,465 is: 344,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625 : 162,465 = 162,465 : x
  2. Step 2: Convert to fraction form
    76,625/162,465 = 162,465/x
  3. Step 3: Cross multiply
    76,625x = 162,465 × 162,465
  4. Step 4: Simplify right side
    76,625x = 26,394,876,225
  5. Step 5: Solve for x
    x = 26,394,876,225/76,625
  6. Step 6: Final answer
    x = 344,468.21

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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.