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Finding the Third Proportional to 50,163 and 74,999.25

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Solution

The third proportional to 50,163 and 74,999.25 is: 112,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,163 : 74,999.25 = 74,999.25 : x
  2. Step 2: Convert to fraction form
    50,163/74,999.25 = 74,999.25/x
  3. Step 3: Cross multiply
    50,163x = 74,999.25 × 74,999.25
  4. Step 4: Simplify right side
    50,163x = 5,624,887,500.56
  5. Step 5: Solve for x
    x = 5,624,887,500.56/50,163
  6. Step 6: Final answer
    x = 112,132.20

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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.