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Finding the Third Proportional to 41,738 and 90,028

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Solution

The third proportional to 41,738 and 90,028 is: 194,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,738 : 90,028 = 90,028 : x
  2. Step 2: Convert to fraction form
    41,738/90,028 = 90,028/x
  3. Step 3: Cross multiply
    41,738x = 90,028 × 90,028
  4. Step 4: Simplify right side
    41,738x = 8,105,040,784
  5. Step 5: Solve for x
    x = 8,105,040,784/41,738
  6. Step 6: Final answer
    x = 194,188.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.