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Finding the Third Proportional to 41,415 and 90,192

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Solution

The third proportional to 41,415 and 90,192 is: 196,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415 : 90,192 = 90,192 : x
  2. Step 2: Convert to fraction form
    41,415/90,192 = 90,192/x
  3. Step 3: Cross multiply
    41,415x = 90,192 × 90,192
  4. Step 4: Simplify right side
    41,415x = 8,134,596,864
  5. Step 5: Solve for x
    x = 8,134,596,864/41,415
  6. Step 6: Final answer
    x = 196,416.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.