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Finding the Third Proportional to 80,703 and 164,967

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Solution

The third proportional to 80,703 and 164,967 is: 337,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,703 : 164,967 = 164,967 : x
  2. Step 2: Convert to fraction form
    80,703/164,967 = 164,967/x
  3. Step 3: Cross multiply
    80,703x = 164,967 × 164,967
  4. Step 4: Simplify right side
    80,703x = 27,214,111,089
  5. Step 5: Solve for x
    x = 27,214,111,089/80,703
  6. Step 6: Final answer
    x = 337,213.13

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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.