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Finding the Third Proportional to 48,144 and 101,544

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Solution

The third proportional to 48,144 and 101,544 is: 214,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144 : 101,544 = 101,544 : x
  2. Step 2: Convert to fraction form
    48,144/101,544 = 101,544/x
  3. Step 3: Cross multiply
    48,144x = 101,544 × 101,544
  4. Step 4: Simplify right side
    48,144x = 10,311,183,936
  5. Step 5: Solve for x
    x = 10,311,183,936/48,144
  6. Step 6: Final answer
    x = 214,173.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.