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Finding the Third Proportional to 54,330.75 and 115,202.25

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Solution

The third proportional to 54,330.75 and 115,202.25 is: 244,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330.75 : 115,202.25 = 115,202.25 : x
  2. Step 2: Convert to fraction form
    54,330.75/115,202.25 = 115,202.25/x
  3. Step 3: Cross multiply
    54,330.75x = 115,202.25 × 115,202.25
  4. Step 4: Simplify right side
    54,330.75x = 13,271,558,405.06
  5. Step 5: Solve for x
    x = 13,271,558,405.06/54,330.75
  6. Step 6: Final answer
    x = 244,273.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.