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Finding the Third Proportional to 76,884 and 166,404

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Solution

The third proportional to 76,884 and 166,404 is: 360,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884 : 166,404 = 166,404 : x
  2. Step 2: Convert to fraction form
    76,884/166,404 = 166,404/x
  3. Step 3: Cross multiply
    76,884x = 166,404 × 166,404
  4. Step 4: Simplify right side
    76,884x = 27,690,291,216
  5. Step 5: Solve for x
    x = 27,690,291,216/76,884
  6. Step 6: Final answer
    x = 360,156.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.