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Finding the Third Proportional to 73,606.50 and 116,745.50

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Solution

The third proportional to 73,606.50 and 116,745.50 is: 185,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,606.50 : 116,745.50 = 116,745.50 : x
  2. Step 2: Convert to fraction form
    73,606.50/116,745.50 = 116,745.50/x
  3. Step 3: Cross multiply
    73,606.50x = 116,745.50 × 116,745.50
  4. Step 4: Simplify right side
    73,606.50x = 13,629,511,770.25
  5. Step 5: Solve for x
    x = 13,629,511,770.25/73,606.50
  6. Step 6: Final answer
    x = 185,167.23

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