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Finding the Third Proportional to 54,440.25 and 85,548.38

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Solution

The third proportional to 54,440.25 and 85,548.38 is: 134,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,440.25 : 85,548.38 = 85,548.38 : x
  2. Step 2: Convert to fraction form
    54,440.25/85,548.38 = 85,548.38/x
  3. Step 3: Cross multiply
    54,440.25x = 85,548.38 × 85,548.38
  4. Step 4: Simplify right side
    54,440.25x = 7,318,524,465.14
  5. Step 5: Solve for x
    x = 7,318,524,465.14/54,440.25
  6. Step 6: Final answer
    x = 134,432.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.