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Finding the Third Proportional to 51,355 and 111,134

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Solution

The third proportional to 51,355 and 111,134 is: 240,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,355 : 111,134 = 111,134 : x
  2. Step 2: Convert to fraction form
    51,355/111,134 = 111,134/x
  3. Step 3: Cross multiply
    51,355x = 111,134 × 111,134
  4. Step 4: Simplify right side
    51,355x = 12,350,765,956
  5. Step 5: Solve for x
    x = 12,350,765,956/51,355
  6. Step 6: Final answer
    x = 240,497.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.