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Finding the Third Proportional to 80,802 and 171,972

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Solution

The third proportional to 80,802 and 171,972 is: 366,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,802 : 171,972 = 171,972 : x
  2. Step 2: Convert to fraction form
    80,802/171,972 = 171,972/x
  3. Step 3: Cross multiply
    80,802x = 171,972 × 171,972
  4. Step 4: Simplify right side
    80,802x = 29,574,368,784
  5. Step 5: Solve for x
    x = 29,574,368,784/80,802
  6. Step 6: Final answer
    x = 366,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.