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Finding the Third Proportional to 48,144.38 and 102,525.75

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Solution

The third proportional to 48,144.38 and 102,525.75 is: 218,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,144.38 : 102,525.75 = 102,525.75 : x
  2. Step 2: Convert to fraction form
    48,144.38/102,525.75 = 102,525.75/x
  3. Step 3: Cross multiply
    48,144.38x = 102,525.75 × 102,525.75
  4. Step 4: Simplify right side
    48,144.38x = 10,511,529,413.06
  5. Step 5: Solve for x
    x = 10,511,529,413.06/48,144.38
  6. Step 6: Final answer
    x = 218,333.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.