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Finding the Third Proportional to 54,850 and 80,194.50

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Solution

The third proportional to 54,850 and 80,194.50 is: 117,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850 : 80,194.50 = 80,194.50 : x
  2. Step 2: Convert to fraction form
    54,850/80,194.50 = 80,194.50/x
  3. Step 3: Cross multiply
    54,850x = 80,194.50 × 80,194.50
  4. Step 4: Simplify right side
    54,850x = 6,431,157,830.25
  5. Step 5: Solve for x
    x = 6,431,157,830.25/54,850
  6. Step 6: Final answer
    x = 117,249.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.