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Finding the Third Proportional to 59,571 and 89,064

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Solution

The third proportional to 59,571 and 89,064 is: 133,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,571 : 89,064 = 89,064 : x
  2. Step 2: Convert to fraction form
    59,571/89,064 = 89,064/x
  3. Step 3: Cross multiply
    59,571x = 89,064 × 89,064
  4. Step 4: Simplify right side
    59,571x = 7,932,396,096
  5. Step 5: Solve for x
    x = 7,932,396,096/59,571
  6. Step 6: Final answer
    x = 133,158.69

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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.