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Finding the Third Proportional to 50,100 and 118,689

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Solution

The third proportional to 50,100 and 118,689 is: 281,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 118,689 = 118,689 : x
  2. Step 2: Convert to fraction form
    50,100/118,689 = 118,689/x
  3. Step 3: Cross multiply
    50,100x = 118,689 × 118,689
  4. Step 4: Simplify right side
    50,100x = 14,087,078,721
  5. Step 5: Solve for x
    x = 14,087,078,721/50,100
  6. Step 6: Final answer
    x = 281,179.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.