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Finding the Third Proportional to 41,922 and 90,085

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Solution

The third proportional to 41,922 and 90,085 is: 193,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 90,085 = 90,085 : x
  2. Step 2: Convert to fraction form
    41,922/90,085 = 90,085/x
  3. Step 3: Cross multiply
    41,922x = 90,085 × 90,085
  4. Step 4: Simplify right side
    41,922x = 8,115,307,225
  5. Step 5: Solve for x
    x = 8,115,307,225/41,922
  6. Step 6: Final answer
    x = 193,581.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.