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Finding the Third Proportional to 43,911 and 103,622

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Solution

The third proportional to 43,911 and 103,622 is: 244,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,911 : 103,622 = 103,622 : x
  2. Step 2: Convert to fraction form
    43,911/103,622 = 103,622/x
  3. Step 3: Cross multiply
    43,911x = 103,622 × 103,622
  4. Step 4: Simplify right side
    43,911x = 10,737,518,884
  5. Step 5: Solve for x
    x = 10,737,518,884/43,911
  6. Step 6: Final answer
    x = 244,529.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.