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Finding the Third Proportional to 41,103 and 90,288

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Solution

The third proportional to 41,103 and 90,288 is: 198,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,103 : 90,288 = 90,288 : x
  2. Step 2: Convert to fraction form
    41,103/90,288 = 90,288/x
  3. Step 3: Cross multiply
    41,103x = 90,288 × 90,288
  4. Step 4: Simplify right side
    41,103x = 8,151,922,944
  5. Step 5: Solve for x
    x = 8,151,922,944/41,103
  6. Step 6: Final answer
    x = 198,329.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.