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Finding the Third Proportional to 54,589 and 115,738.50

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Solution

The third proportional to 54,589 and 115,738.50 is: 245,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589 : 115,738.50 = 115,738.50 : x
  2. Step 2: Convert to fraction form
    54,589/115,738.50 = 115,738.50/x
  3. Step 3: Cross multiply
    54,589x = 115,738.50 × 115,738.50
  4. Step 4: Simplify right side
    54,589x = 13,395,400,382.25
  5. Step 5: Solve for x
    x = 13,395,400,382.25/54,589
  6. Step 6: Final answer
    x = 245,386.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.