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Finding the Third Proportional to 54,832 and 74,300.75

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Solution

The third proportional to 54,832 and 74,300.75 is: 100,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832 : 74,300.75 = 74,300.75 : x
  2. Step 2: Convert to fraction form
    54,832/74,300.75 = 74,300.75/x
  3. Step 3: Cross multiply
    54,832x = 74,300.75 × 74,300.75
  4. Step 4: Simplify right side
    54,832x = 5,520,601,450.56
  5. Step 5: Solve for x
    x = 5,520,601,450.56/54,832
  6. Step 6: Final answer
    x = 100,682.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.