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Finding the Third Proportional to 54,799.88 and 117,788.34

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Solution

The third proportional to 54,799.88 and 117,788.34 is: 253,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,799.88 : 117,788.34 = 117,788.34 : x
  2. Step 2: Convert to fraction form
    54,799.88/117,788.34 = 117,788.34/x
  3. Step 3: Cross multiply
    54,799.88x = 117,788.34 × 117,788.34
  4. Step 4: Simplify right side
    54,799.88x = 13,874,093,923.37
  5. Step 5: Solve for x
    x = 13,874,093,923.37/54,799.88
  6. Step 6: Final answer
    x = 253,177.47

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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.