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Finding the Third Proportional to 80,910 and 165,033

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Solution

The third proportional to 80,910 and 165,033 is: 336,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,910 : 165,033 = 165,033 : x
  2. Step 2: Convert to fraction form
    80,910/165,033 = 165,033/x
  3. Step 3: Cross multiply
    80,910x = 165,033 × 165,033
  4. Step 4: Simplify right side
    80,910x = 27,235,891,089
  5. Step 5: Solve for x
    x = 27,235,891,089/80,910
  6. Step 6: Final answer
    x = 336,619.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.