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Finding the Third Proportional to 51,903.75 and 113,499.75

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Solution

The third proportional to 51,903.75 and 113,499.75 is: 248,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.75 : 113,499.75 = 113,499.75 : x
  2. Step 2: Convert to fraction form
    51,903.75/113,499.75 = 113,499.75/x
  3. Step 3: Cross multiply
    51,903.75x = 113,499.75 × 113,499.75
  4. Step 4: Simplify right side
    51,903.75x = 12,882,193,250.06
  5. Step 5: Solve for x
    x = 12,882,193,250.06/51,903.75
  6. Step 6: Final answer
    x = 248,193.88

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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.