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Finding the Third Proportional to 106,545.94 and 177,553.69

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Solution

The third proportional to 106,545.94 and 177,553.69 is: 295,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,545.94 : 177,553.69 = 177,553.69 : x
  2. Step 2: Convert to fraction form
    106,545.94/177,553.69 = 177,553.69/x
  3. Step 3: Cross multiply
    106,545.94x = 177,553.69 × 177,553.69
  4. Step 4: Simplify right side
    106,545.94x = 31,525,311,944.85
  5. Step 5: Solve for x
    x = 31,525,311,944.85/106,545.94
  6. Step 6: Final answer
    x = 295,884.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.