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Finding the Third Proportional to 84,050 and 182,102

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Solution

The third proportional to 84,050 and 182,102 is: 394,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,050 : 182,102 = 182,102 : x
  2. Step 2: Convert to fraction form
    84,050/182,102 = 182,102/x
  3. Step 3: Cross multiply
    84,050x = 182,102 × 182,102
  4. Step 4: Simplify right side
    84,050x = 33,161,138,404
  5. Step 5: Solve for x
    x = 33,161,138,404/84,050
  6. Step 6: Final answer
    x = 394,540.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.