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Finding the Third Proportional to 84,827 and 182,687

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Solution

The third proportional to 84,827 and 182,687 is: 393,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827 : 182,687 = 182,687 : x
  2. Step 2: Convert to fraction form
    84,827/182,687 = 182,687/x
  3. Step 3: Cross multiply
    84,827x = 182,687 × 182,687
  4. Step 4: Simplify right side
    84,827x = 33,374,539,969
  5. Step 5: Solve for x
    x = 33,374,539,969/84,827
  6. Step 6: Final answer
    x = 393,442.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.