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Finding the Third Proportional to 50,108 and 107,968

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Solution

The third proportional to 50,108 and 107,968 is: 232,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,108 : 107,968 = 107,968 : x
  2. Step 2: Convert to fraction form
    50,108/107,968 = 107,968/x
  3. Step 3: Cross multiply
    50,108x = 107,968 × 107,968
  4. Step 4: Simplify right side
    50,108x = 11,657,089,024
  5. Step 5: Solve for x
    x = 11,657,089,024/50,108
  6. Step 6: Final answer
    x = 232,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.