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Finding the Third Proportional to 51,474 and 111,804

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Solution

The third proportional to 51,474 and 111,804 is: 242,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474 : 111,804 = 111,804 : x
  2. Step 2: Convert to fraction form
    51,474/111,804 = 111,804/x
  3. Step 3: Cross multiply
    51,474x = 111,804 × 111,804
  4. Step 4: Simplify right side
    51,474x = 12,500,134,416
  5. Step 5: Solve for x
    x = 12,500,134,416/51,474
  6. Step 6: Final answer
    x = 242,843.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.