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Finding the Third Proportional to 41,018 and 90,112

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Solution

The third proportional to 41,018 and 90,112 is: 197,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,018 : 90,112 = 90,112 : x
  2. Step 2: Convert to fraction form
    41,018/90,112 = 90,112/x
  3. Step 3: Cross multiply
    41,018x = 90,112 × 90,112
  4. Step 4: Simplify right side
    41,018x = 8,120,172,544
  5. Step 5: Solve for x
    x = 8,120,172,544/41,018
  6. Step 6: Final answer
    x = 197,966.08

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