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Finding the Third Proportional to 51,990.50 and 113,676.25

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Solution

The third proportional to 51,990.50 and 113,676.25 is: 248,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,990.50 : 113,676.25 = 113,676.25 : x
  2. Step 2: Convert to fraction form
    51,990.50/113,676.25 = 113,676.25/x
  3. Step 3: Cross multiply
    51,990.50x = 113,676.25 × 113,676.25
  4. Step 4: Simplify right side
    51,990.50x = 12,922,289,814.06
  5. Step 5: Solve for x
    x = 12,922,289,814.06/51,990.50
  6. Step 6: Final answer
    x = 248,550.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.