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Finding the Third Proportional to 54,538.88 and 80,012.25

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Solution

The third proportional to 54,538.88 and 80,012.25 is: 117,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538.88 : 80,012.25 = 80,012.25 : x
  2. Step 2: Convert to fraction form
    54,538.88/80,012.25 = 80,012.25/x
  3. Step 3: Cross multiply
    54,538.88x = 80,012.25 × 80,012.25
  4. Step 4: Simplify right side
    54,538.88x = 6,401,960,150.06
  5. Step 5: Solve for x
    x = 6,401,960,150.06/54,538.88
  6. Step 6: Final answer
    x = 117,383.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.