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Finding the Third Proportional to 54,369 and 110,265.75

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Solution

The third proportional to 54,369 and 110,265.75 is: 223,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,369 : 110,265.75 = 110,265.75 : x
  2. Step 2: Convert to fraction form
    54,369/110,265.75 = 110,265.75/x
  3. Step 3: Cross multiply
    54,369x = 110,265.75 × 110,265.75
  4. Step 4: Simplify right side
    54,369x = 12,158,535,623.06
  5. Step 5: Solve for x
    x = 12,158,535,623.06/54,369
  6. Step 6: Final answer
    x = 223,629.93

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.