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Finding the Third Proportional to 76,005 and 166,293

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Solution

The third proportional to 76,005 and 166,293 is: 363,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 166,293 = 166,293 : x
  2. Step 2: Convert to fraction form
    76,005/166,293 = 166,293/x
  3. Step 3: Cross multiply
    76,005x = 166,293 × 166,293
  4. Step 4: Simplify right side
    76,005x = 27,653,361,849
  5. Step 5: Solve for x
    x = 27,653,361,849/76,005
  6. Step 6: Final answer
    x = 363,836.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.