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Finding the Third Proportional to 47,553.75 and 102,465.75

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Solution

The third proportional to 47,553.75 and 102,465.75 is: 220,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,553.75 : 102,465.75 = 102,465.75 : x
  2. Step 2: Convert to fraction form
    47,553.75/102,465.75 = 102,465.75/x
  3. Step 3: Cross multiply
    47,553.75x = 102,465.75 × 102,465.75
  4. Step 4: Simplify right side
    47,553.75x = 10,499,229,923.06
  5. Step 5: Solve for x
    x = 10,499,229,923.06/47,553.75
  6. Step 6: Final answer
    x = 220,786.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.