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Finding the Third Proportional to 51,834.94 and 113,050.69

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Solution

The third proportional to 51,834.94 and 113,050.69 is: 246,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,834.94 : 113,050.69 = 113,050.69 : x
  2. Step 2: Convert to fraction form
    51,834.94/113,050.69 = 113,050.69/x
  3. Step 3: Cross multiply
    51,834.94x = 113,050.69 × 113,050.69
  4. Step 4: Simplify right side
    51,834.94x = 12,780,457,944.22
  5. Step 5: Solve for x
    x = 12,780,457,944.22/51,834.94
  6. Step 6: Final answer
    x = 246,560.69

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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.