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Finding the Third Proportional to 47,125.97 and 102,544.52

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Solution

The third proportional to 47,125.97 and 102,544.52 is: 223,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125.97 : 102,544.52 = 102,544.52 : x
  2. Step 2: Convert to fraction form
    47,125.97/102,544.52 = 102,544.52/x
  3. Step 3: Cross multiply
    47,125.97x = 102,544.52 × 102,544.52
  4. Step 4: Simplify right side
    47,125.97x = 10,515,379,287.02
  5. Step 5: Solve for x
    x = 10,515,379,287.02/47,125.97
  6. Step 6: Final answer
    x = 223,133.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.