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Finding the Third Proportional to 76,842 and 167,697

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Solution

The third proportional to 76,842 and 167,697 is: 365,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 167,697 = 167,697 : x
  2. Step 2: Convert to fraction form
    76,842/167,697 = 167,697/x
  3. Step 3: Cross multiply
    76,842x = 167,697 × 167,697
  4. Step 4: Simplify right side
    76,842x = 28,122,283,809
  5. Step 5: Solve for x
    x = 28,122,283,809/76,842
  6. Step 6: Final answer
    x = 365,975.43

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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.