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Finding the Third Proportional to 54,775.13 and 115,084.69

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Solution

The third proportional to 54,775.13 and 115,084.69 is: 241,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,775.13 : 115,084.69 = 115,084.69 : x
  2. Step 2: Convert to fraction form
    54,775.13/115,084.69 = 115,084.69/x
  3. Step 3: Cross multiply
    54,775.13x = 115,084.69 × 115,084.69
  4. Step 4: Simplify right side
    54,775.13x = 13,244,485,296.97
  5. Step 5: Solve for x
    x = 13,244,485,296.97/54,775.13
  6. Step 6: Final answer
    x = 241,797.45

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