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Finding the Third Proportional to 54,548.44 and 86,745.94

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Solution

The third proportional to 54,548.44 and 86,745.94 is: 137,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.44 : 86,745.94 = 86,745.94 : x
  2. Step 2: Convert to fraction form
    54,548.44/86,745.94 = 86,745.94/x
  3. Step 3: Cross multiply
    54,548.44x = 86,745.94 × 86,745.94
  4. Step 4: Simplify right side
    54,548.44x = 7,524,857,672.75
  5. Step 5: Solve for x
    x = 7,524,857,672.75/54,548.44
  6. Step 6: Final answer
    x = 137,948.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.