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Finding the Third Proportional to 50,161 and 118,405

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Solution

The third proportional to 50,161 and 118,405 is: 279,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,161 : 118,405 = 118,405 : x
  2. Step 2: Convert to fraction form
    50,161/118,405 = 118,405/x
  3. Step 3: Cross multiply
    50,161x = 118,405 × 118,405
  4. Step 4: Simplify right side
    50,161x = 14,019,744,025
  5. Step 5: Solve for x
    x = 14,019,744,025/50,161
  6. Step 6: Final answer
    x = 279,494.91

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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.