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Finding the Third Proportional to 41,590 and 90,876

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Solution

The third proportional to 41,590 and 90,876 is: 198,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590 : 90,876 = 90,876 : x
  2. Step 2: Convert to fraction form
    41,590/90,876 = 90,876/x
  3. Step 3: Cross multiply
    41,590x = 90,876 × 90,876
  4. Step 4: Simplify right side
    41,590x = 8,258,447,376
  5. Step 5: Solve for x
    x = 8,258,447,376/41,590
  6. Step 6: Final answer
    x = 198,568.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.