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Finding the Third Proportional to 80,923.50 and 177,795

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Solution

The third proportional to 80,923.50 and 177,795 is: 390,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,923.50 : 177,795 = 177,795 : x
  2. Step 2: Convert to fraction form
    80,923.50/177,795 = 177,795/x
  3. Step 3: Cross multiply
    80,923.50x = 177,795 × 177,795
  4. Step 4: Simplify right side
    80,923.50x = 31,611,062,025
  5. Step 5: Solve for x
    x = 31,611,062,025/80,923.50
  6. Step 6: Final answer
    x = 390,628.95

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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.