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Finding the Third Proportional to 59,961 and 90,096

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Solution

The third proportional to 59,961 and 90,096 is: 135,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,961 : 90,096 = 90,096 : x
  2. Step 2: Convert to fraction form
    59,961/90,096 = 90,096/x
  3. Step 3: Cross multiply
    59,961x = 90,096 × 90,096
  4. Step 4: Simplify right side
    59,961x = 8,117,289,216
  5. Step 5: Solve for x
    x = 8,117,289,216/59,961
  6. Step 6: Final answer
    x = 135,376.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.