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Finding the Third Proportional to 90,176 and 192,860

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Solution

The third proportional to 90,176 and 192,860 is: 412,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,176 : 192,860 = 192,860 : x
  2. Step 2: Convert to fraction form
    90,176/192,860 = 192,860/x
  3. Step 3: Cross multiply
    90,176x = 192,860 × 192,860
  4. Step 4: Simplify right side
    90,176x = 37,194,979,600
  5. Step 5: Solve for x
    x = 37,194,979,600/90,176
  6. Step 6: Final answer
    x = 412,470.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.