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Finding the Third Proportional to 65,022.75 and 139,745.25

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Solution

The third proportional to 65,022.75 and 139,745.25 is: 300,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.75 : 139,745.25 = 139,745.25 : x
  2. Step 2: Convert to fraction form
    65,022.75/139,745.25 = 139,745.25/x
  3. Step 3: Cross multiply
    65,022.75x = 139,745.25 × 139,745.25
  4. Step 4: Simplify right side
    65,022.75x = 19,528,734,897.56
  5. Step 5: Solve for x
    x = 19,528,734,897.56/65,022.75
  6. Step 6: Final answer
    x = 300,336.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.