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Finding the Third Proportional to 54,243.75 and 117,509.25

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Solution

The third proportional to 54,243.75 and 117,509.25 is: 254,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,243.75 : 117,509.25 = 117,509.25 : x
  2. Step 2: Convert to fraction form
    54,243.75/117,509.25 = 117,509.25/x
  3. Step 3: Cross multiply
    54,243.75x = 117,509.25 × 117,509.25
  4. Step 4: Simplify right side
    54,243.75x = 13,808,423,835.56
  5. Step 5: Solve for x
    x = 13,808,423,835.56/54,243.75
  6. Step 6: Final answer
    x = 254,562.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.