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Finding the Third Proportional to 54,847 and 81,911.50

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Solution

The third proportional to 54,847 and 81,911.50 is: 122,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847 : 81,911.50 = 81,911.50 : x
  2. Step 2: Convert to fraction form
    54,847/81,911.50 = 81,911.50/x
  3. Step 3: Cross multiply
    54,847x = 81,911.50 × 81,911.50
  4. Step 4: Simplify right side
    54,847x = 6,709,493,832.25
  5. Step 5: Solve for x
    x = 6,709,493,832.25/54,847
  6. Step 6: Final answer
    x = 122,331.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.