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Finding the Third Proportional to 84,058 and 182,115

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Solution

The third proportional to 84,058 and 182,115 is: 394,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,058 : 182,115 = 182,115 : x
  2. Step 2: Convert to fraction form
    84,058/182,115 = 182,115/x
  3. Step 3: Cross multiply
    84,058x = 182,115 × 182,115
  4. Step 4: Simplify right side
    84,058x = 33,165,873,225
  5. Step 5: Solve for x
    x = 33,165,873,225/84,058
  6. Step 6: Final answer
    x = 394,559.39

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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.