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Finding the Third Proportional to 54,736.88 and 117,914.63

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Solution

The third proportional to 54,736.88 and 117,914.63 is: 254,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736.88 : 117,914.63 = 117,914.63 : x
  2. Step 2: Convert to fraction form
    54,736.88/117,914.63 = 117,914.63/x
  3. Step 3: Cross multiply
    54,736.88x = 117,914.63 × 117,914.63
  4. Step 4: Simplify right side
    54,736.88x = 13,903,858,788.89
  5. Step 5: Solve for x
    x = 13,903,858,788.89/54,736.88
  6. Step 6: Final answer
    x = 254,012.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.