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Finding the Third Proportional to 76,934 and 166,504

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Solution

The third proportional to 76,934 and 166,504 is: 360,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934 : 166,504 = 166,504 : x
  2. Step 2: Convert to fraction form
    76,934/166,504 = 166,504/x
  3. Step 3: Cross multiply
    76,934x = 166,504 × 166,504
  4. Step 4: Simplify right side
    76,934x = 27,723,582,016
  5. Step 5: Solve for x
    x = 27,723,582,016/76,934
  6. Step 6: Final answer
    x = 360,355.40

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Why These Related Problems?

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