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Finding the Third Proportional to 54,583.88 and 114,361.88

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Solution

The third proportional to 54,583.88 and 114,361.88 is: 239,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.88 : 114,361.88 = 114,361.88 : x
  2. Step 2: Convert to fraction form
    54,583.88/114,361.88 = 114,361.88/x
  3. Step 3: Cross multiply
    54,583.88x = 114,361.88 × 114,361.88
  4. Step 4: Simplify right side
    54,583.88x = 13,078,638,453.52
  5. Step 5: Solve for x
    x = 13,078,638,453.52/54,583.88
  6. Step 6: Final answer
    x = 239,606.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.