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Finding the Third Proportional to 59,923.89 and 133,149.48

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Solution

The third proportional to 59,923.89 and 133,149.48 is: 295,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,923.89 : 133,149.48 = 133,149.48 : x
  2. Step 2: Convert to fraction form
    59,923.89/133,149.48 = 133,149.48/x
  3. Step 3: Cross multiply
    59,923.89x = 133,149.48 × 133,149.48
  4. Step 4: Simplify right side
    59,923.89x = 17,728,783,015.41
  5. Step 5: Solve for x
    x = 17,728,783,015.41/59,923.89
  6. Step 6: Final answer
    x = 295,855.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.