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Finding the Third Proportional to 54,509.88 and 116,899.75

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Solution

The third proportional to 54,509.88 and 116,899.75 is: 250,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.88 : 116,899.75 = 116,899.75 : x
  2. Step 2: Convert to fraction form
    54,509.88/116,899.75 = 116,899.75/x
  3. Step 3: Cross multiply
    54,509.88x = 116,899.75 × 116,899.75
  4. Step 4: Simplify right side
    54,509.88x = 13,665,551,550.06
  5. Step 5: Solve for x
    x = 13,665,551,550.06/54,509.88
  6. Step 6: Final answer
    x = 250,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.