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Finding the Third Proportional to 84,052 and 182,103

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Solution

The third proportional to 84,052 and 182,103 is: 394,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,052 : 182,103 = 182,103 : x
  2. Step 2: Convert to fraction form
    84,052/182,103 = 182,103/x
  3. Step 3: Cross multiply
    84,052x = 182,103 × 182,103
  4. Step 4: Simplify right side
    84,052x = 33,161,502,609
  5. Step 5: Solve for x
    x = 33,161,502,609/84,052
  6. Step 6: Final answer
    x = 394,535.56

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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.