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Finding the Third Proportional to 48,013 and 69,165

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Solution

The third proportional to 48,013 and 69,165 is: 99,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,013 : 69,165 = 69,165 : x
  2. Step 2: Convert to fraction form
    48,013/69,165 = 69,165/x
  3. Step 3: Cross multiply
    48,013x = 69,165 × 69,165
  4. Step 4: Simplify right side
    48,013x = 4,783,797,225
  5. Step 5: Solve for x
    x = 4,783,797,225/48,013
  6. Step 6: Final answer
    x = 99,635.46

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.