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Finding the Third Proportional to 50,100 and 74,992

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Solution

The third proportional to 50,100 and 74,992 is: 112,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 74,992 = 74,992 : x
  2. Step 2: Convert to fraction form
    50,100/74,992 = 74,992/x
  3. Step 3: Cross multiply
    50,100x = 74,992 × 74,992
  4. Step 4: Simplify right side
    50,100x = 5,623,800,064
  5. Step 5: Solve for x
    x = 5,623,800,064/50,100
  6. Step 6: Final answer
    x = 112,251.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.