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Finding the Third Proportional to 45,380.25 and 105,454.41

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Solution

The third proportional to 45,380.25 and 105,454.41 is: 245,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.25 : 105,454.41 = 105,454.41 : x
  2. Step 2: Convert to fraction form
    45,380.25/105,454.41 = 105,454.41/x
  3. Step 3: Cross multiply
    45,380.25x = 105,454.41 × 105,454.41
  4. Step 4: Simplify right side
    45,380.25x = 11,120,631,797.54
  5. Step 5: Solve for x
    x = 11,120,631,797.54/45,380.25
  6. Step 6: Final answer
    x = 245,054.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.