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Finding the Third Proportional to 50,324 and 102,832.75

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Solution

The third proportional to 50,324 and 102,832.75 is: 210,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,324 : 102,832.75 = 102,832.75 : x
  2. Step 2: Convert to fraction form
    50,324/102,832.75 = 102,832.75/x
  3. Step 3: Cross multiply
    50,324x = 102,832.75 × 102,832.75
  4. Step 4: Simplify right side
    50,324x = 10,574,574,472.56
  5. Step 5: Solve for x
    x = 10,574,574,472.56/50,324
  6. Step 6: Final answer
    x = 210,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.