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Finding the Third Proportional to 41,420 and 90,196

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Solution

The third proportional to 41,420 and 90,196 is: 196,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420 : 90,196 = 90,196 : x
  2. Step 2: Convert to fraction form
    41,420/90,196 = 90,196/x
  3. Step 3: Cross multiply
    41,420x = 90,196 × 90,196
  4. Step 4: Simplify right side
    41,420x = 8,135,318,416
  5. Step 5: Solve for x
    x = 8,135,318,416/41,420
  6. Step 6: Final answer
    x = 196,410.39

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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.