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Finding the Third Proportional to 80,952.75 and 171,770.63

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Solution

The third proportional to 80,952.75 and 171,770.63 is: 364,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,952.75 : 171,770.63 = 171,770.63 : x
  2. Step 2: Convert to fraction form
    80,952.75/171,770.63 = 171,770.63/x
  3. Step 3: Cross multiply
    80,952.75x = 171,770.63 × 171,770.63
  4. Step 4: Simplify right side
    80,952.75x = 29,505,147,612.89
  5. Step 5: Solve for x
    x = 29,505,147,612.89/80,952.75
  6. Step 6: Final answer
    x = 364,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.