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Finding the Third Proportional to 76,638 and 167,830

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Solution

The third proportional to 76,638 and 167,830 is: 367,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 167,830 = 167,830 : x
  2. Step 2: Convert to fraction form
    76,638/167,830 = 167,830/x
  3. Step 3: Cross multiply
    76,638x = 167,830 × 167,830
  4. Step 4: Simplify right side
    76,638x = 28,166,908,900
  5. Step 5: Solve for x
    x = 28,166,908,900/76,638
  6. Step 6: Final answer
    x = 367,531.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.