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Finding the Third Proportional to 80,092.25 and 176,172.25

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Solution

The third proportional to 80,092.25 and 176,172.25 is: 387,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,092.25 : 176,172.25 = 176,172.25 : x
  2. Step 2: Convert to fraction form
    80,092.25/176,172.25 = 176,172.25/x
  3. Step 3: Cross multiply
    80,092.25x = 176,172.25 × 176,172.25
  4. Step 4: Simplify right side
    80,092.25x = 31,036,661,670.06
  5. Step 5: Solve for x
    x = 31,036,661,670.06/80,092.25
  6. Step 6: Final answer
    x = 387,511.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.