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Finding the Third Proportional to 84,003 and 182,769

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Solution

The third proportional to 84,003 and 182,769 is: 397,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,003 : 182,769 = 182,769 : x
  2. Step 2: Convert to fraction form
    84,003/182,769 = 182,769/x
  3. Step 3: Cross multiply
    84,003x = 182,769 × 182,769
  4. Step 4: Simplify right side
    84,003x = 33,404,507,361
  5. Step 5: Solve for x
    x = 33,404,507,361/84,003
  6. Step 6: Final answer
    x = 397,658.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.