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Finding the Third Proportional to 52,247 and 113,818

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Solution

The third proportional to 52,247 and 113,818 is: 247,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,247 : 113,818 = 113,818 : x
  2. Step 2: Convert to fraction form
    52,247/113,818 = 113,818/x
  3. Step 3: Cross multiply
    52,247x = 113,818 × 113,818
  4. Step 4: Simplify right side
    52,247x = 12,954,537,124
  5. Step 5: Solve for x
    x = 12,954,537,124/52,247
  6. Step 6: Final answer
    x = 247,947.96

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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.