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Finding the Third Proportional to 77,962 and 182,192

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Solution

The third proportional to 77,962 and 182,192 is: 425,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962 : 182,192 = 182,192 : x
  2. Step 2: Convert to fraction form
    77,962/182,192 = 182,192/x
  3. Step 3: Cross multiply
    77,962x = 182,192 × 182,192
  4. Step 4: Simplify right side
    77,962x = 33,193,924,864
  5. Step 5: Solve for x
    x = 33,193,924,864/77,962
  6. Step 6: Final answer
    x = 425,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.