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Finding the Third Proportional to 41,767 and 90,119

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Solution

The third proportional to 41,767 and 90,119 is: 194,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,767 : 90,119 = 90,119 : x
  2. Step 2: Convert to fraction form
    41,767/90,119 = 90,119/x
  3. Step 3: Cross multiply
    41,767x = 90,119 × 90,119
  4. Step 4: Simplify right side
    41,767x = 8,121,434,161
  5. Step 5: Solve for x
    x = 8,121,434,161/41,767
  6. Step 6: Final answer
    x = 194,446.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.