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Finding the Third Proportional to 51,948 and 113,251.50

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Solution

The third proportional to 51,948 and 113,251.50 is: 246,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 113,251.50 = 113,251.50 : x
  2. Step 2: Convert to fraction form
    51,948/113,251.50 = 113,251.50/x
  3. Step 3: Cross multiply
    51,948x = 113,251.50 × 113,251.50
  4. Step 4: Simplify right side
    51,948x = 12,825,902,252.25
  5. Step 5: Solve for x
    x = 12,825,902,252.25/51,948
  6. Step 6: Final answer
    x = 246,898.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.