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Finding the Third Proportional to 50,022 and 75,215.25

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Solution

The third proportional to 50,022 and 75,215.25 is: 113,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,022 : 75,215.25 = 75,215.25 : x
  2. Step 2: Convert to fraction form
    50,022/75,215.25 = 75,215.25/x
  3. Step 3: Cross multiply
    50,022x = 75,215.25 × 75,215.25
  4. Step 4: Simplify right side
    50,022x = 5,657,333,832.56
  5. Step 5: Solve for x
    x = 5,657,333,832.56/50,022
  6. Step 6: Final answer
    x = 113,096.91

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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.