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Finding the Third Proportional to 80,532 and 171,796

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Solution

The third proportional to 80,532 and 171,796 is: 366,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,532 : 171,796 = 171,796 : x
  2. Step 2: Convert to fraction form
    80,532/171,796 = 171,796/x
  3. Step 3: Cross multiply
    80,532x = 171,796 × 171,796
  4. Step 4: Simplify right side
    80,532x = 29,513,865,616
  5. Step 5: Solve for x
    x = 29,513,865,616/80,532
  6. Step 6: Final answer
    x = 366,486.19

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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.