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Finding the Third Proportional to 41,894 and 91,176

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Solution

The third proportional to 41,894 and 91,176 is: 198,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894 : 91,176 = 91,176 : x
  2. Step 2: Convert to fraction form
    41,894/91,176 = 91,176/x
  3. Step 3: Cross multiply
    41,894x = 91,176 × 91,176
  4. Step 4: Simplify right side
    41,894x = 8,313,062,976
  5. Step 5: Solve for x
    x = 8,313,062,976/41,894
  6. Step 6: Final answer
    x = 198,430.87

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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.