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Finding the Third Proportional to 75,725.25 and 116,745.75

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Solution

The third proportional to 75,725.25 and 116,745.75 is: 179,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,725.25 : 116,745.75 = 116,745.75 : x
  2. Step 2: Convert to fraction form
    75,725.25/116,745.75 = 116,745.75/x
  3. Step 3: Cross multiply
    75,725.25x = 116,745.75 × 116,745.75
  4. Step 4: Simplify right side
    75,725.25x = 13,629,570,143.06
  5. Step 5: Solve for x
    x = 13,629,570,143.06/75,725.25
  6. Step 6: Final answer
    x = 179,987.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.