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Finding the Third Proportional to 50,502 and 75,753

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Solution

The third proportional to 50,502 and 75,753 is: 113,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502 : 75,753 = 75,753 : x
  2. Step 2: Convert to fraction form
    50,502/75,753 = 75,753/x
  3. Step 3: Cross multiply
    50,502x = 75,753 × 75,753
  4. Step 4: Simplify right side
    50,502x = 5,738,517,009
  5. Step 5: Solve for x
    x = 5,738,517,009/50,502
  6. Step 6: Final answer
    x = 113,629.50

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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.