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Finding the Third Proportional to 50,012 and 106,390

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Solution

The third proportional to 50,012 and 106,390 is: 226,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,012 : 106,390 = 106,390 : x
  2. Step 2: Convert to fraction form
    50,012/106,390 = 106,390/x
  3. Step 3: Cross multiply
    50,012x = 106,390 × 106,390
  4. Step 4: Simplify right side
    50,012x = 11,318,832,100
  5. Step 5: Solve for x
    x = 11,318,832,100/50,012
  6. Step 6: Final answer
    x = 226,322.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.