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Finding the Third Proportional to 50,749 and 103,442

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Solution

The third proportional to 50,749 and 103,442 is: 210,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,749 : 103,442 = 103,442 : x
  2. Step 2: Convert to fraction form
    50,749/103,442 = 103,442/x
  3. Step 3: Cross multiply
    50,749x = 103,442 × 103,442
  4. Step 4: Simplify right side
    50,749x = 10,700,247,364
  5. Step 5: Solve for x
    x = 10,700,247,364/50,749
  6. Step 6: Final answer
    x = 210,846.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.