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Finding the Third Proportional to 36,954 and 89,094

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Solution

The third proportional to 36,954 and 89,094 is: 214,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954 : 89,094 = 89,094 : x
  2. Step 2: Convert to fraction form
    36,954/89,094 = 89,094/x
  3. Step 3: Cross multiply
    36,954x = 89,094 × 89,094
  4. Step 4: Simplify right side
    36,954x = 7,937,740,836
  5. Step 5: Solve for x
    x = 7,937,740,836/36,954
  6. Step 6: Final answer
    x = 214,800.59

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.