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Finding the Third Proportional to 74,745.75 and 115,854.75

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Solution

The third proportional to 74,745.75 and 115,854.75 is: 179,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,745.75 : 115,854.75 = 115,854.75 : x
  2. Step 2: Convert to fraction form
    74,745.75/115,854.75 = 115,854.75/x
  3. Step 3: Cross multiply
    74,745.75x = 115,854.75 × 115,854.75
  4. Step 4: Simplify right side
    74,745.75x = 13,422,323,097.56
  5. Step 5: Solve for x
    x = 13,422,323,097.56/74,745.75
  6. Step 6: Final answer
    x = 179,573.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.