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Finding the Third Proportional to 76,837 and 167,138

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Solution

The third proportional to 76,837 and 167,138 is: 363,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,837 : 167,138 = 167,138 : x
  2. Step 2: Convert to fraction form
    76,837/167,138 = 167,138/x
  3. Step 3: Cross multiply
    76,837x = 167,138 × 167,138
  4. Step 4: Simplify right side
    76,837x = 27,935,111,044
  5. Step 5: Solve for x
    x = 27,935,111,044/76,837
  6. Step 6: Final answer
    x = 363,563.27

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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.