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Finding the Third Proportional to 76,638 and 162,552

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Solution

The third proportional to 76,638 and 162,552 is: 344,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 162,552 = 162,552 : x
  2. Step 2: Convert to fraction form
    76,638/162,552 = 162,552/x
  3. Step 3: Cross multiply
    76,638x = 162,552 × 162,552
  4. Step 4: Simplify right side
    76,638x = 26,423,152,704
  5. Step 5: Solve for x
    x = 26,423,152,704/76,638
  6. Step 6: Final answer
    x = 344,778.74

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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.