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Finding the Third Proportional to 84,553 and 182,187

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Solution

The third proportional to 84,553 and 182,187 is: 392,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,553 : 182,187 = 182,187 : x
  2. Step 2: Convert to fraction form
    84,553/182,187 = 182,187/x
  3. Step 3: Cross multiply
    84,553x = 182,187 × 182,187
  4. Step 4: Simplify right side
    84,553x = 33,192,102,969
  5. Step 5: Solve for x
    x = 33,192,102,969/84,553
  6. Step 6: Final answer
    x = 392,559.73

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Why These Related Problems?

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