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Finding the Third Proportional to 76,824 and 167,112

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Solution

The third proportional to 76,824 and 167,112 is: 363,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824 : 167,112 = 167,112 : x
  2. Step 2: Convert to fraction form
    76,824/167,112 = 167,112/x
  3. Step 3: Cross multiply
    76,824x = 167,112 × 167,112
  4. Step 4: Simplify right side
    76,824x = 27,926,420,544
  5. Step 5: Solve for x
    x = 27,926,420,544/76,824
  6. Step 6: Final answer
    x = 363,511.67

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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.