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Finding the Third Proportional to 54,588.75 and 119,360.44

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Solution

The third proportional to 54,588.75 and 119,360.44 is: 260,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588.75 : 119,360.44 = 119,360.44 : x
  2. Step 2: Convert to fraction form
    54,588.75/119,360.44 = 119,360.44/x
  3. Step 3: Cross multiply
    54,588.75x = 119,360.44 × 119,360.44
  4. Step 4: Simplify right side
    54,588.75x = 14,246,914,040.19
  5. Step 5: Solve for x
    x = 14,246,914,040.19/54,588.75
  6. Step 6: Final answer
    x = 260,986.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.