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Finding the Third Proportional to 76,638 and 167,068

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Solution

The third proportional to 76,638 and 167,068 is: 364,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 167,068 = 167,068 : x
  2. Step 2: Convert to fraction form
    76,638/167,068 = 167,068/x
  3. Step 3: Cross multiply
    76,638x = 167,068 × 167,068
  4. Step 4: Simplify right side
    76,638x = 27,911,716,624
  5. Step 5: Solve for x
    x = 27,911,716,624/76,638
  6. Step 6: Final answer
    x = 364,202.05

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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.