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Finding the Third Proportional to 50,235 and 75,999

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Solution

The third proportional to 50,235 and 75,999 is: 114,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,235 : 75,999 = 75,999 : x
  2. Step 2: Convert to fraction form
    50,235/75,999 = 75,999/x
  3. Step 3: Cross multiply
    50,235x = 75,999 × 75,999
  4. Step 4: Simplify right side
    50,235x = 5,775,848,001
  5. Step 5: Solve for x
    x = 5,775,848,001/50,235
  6. Step 6: Final answer
    x = 114,976.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.