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Finding the Third Proportional to 115,745.25 and 173,925.75

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Solution

The third proportional to 115,745.25 and 173,925.75 is: 261,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,745.25 : 173,925.75 = 173,925.75 : x
  2. Step 2: Convert to fraction form
    115,745.25/173,925.75 = 173,925.75/x
  3. Step 3: Cross multiply
    115,745.25x = 173,925.75 × 173,925.75
  4. Step 4: Simplify right side
    115,745.25x = 30,250,166,513.06
  5. Step 5: Solve for x
    x = 30,250,166,513.06/115,745.25
  6. Step 6: Final answer
    x = 261,351.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.