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Finding the Third Proportional to 54,524.25 and 73,267.88

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Solution

The third proportional to 54,524.25 and 73,267.88 is: 98,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524.25 : 73,267.88 = 73,267.88 : x
  2. Step 2: Convert to fraction form
    54,524.25/73,267.88 = 73,267.88/x
  3. Step 3: Cross multiply
    54,524.25x = 73,267.88 × 73,267.88
  4. Step 4: Simplify right side
    54,524.25x = 5,368,181,507.02
  5. Step 5: Solve for x
    x = 5,368,181,507.02/54,524.25
  6. Step 6: Final answer
    x = 98,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.