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Finding the Third Proportional to 65,083.50 and 88,408.75

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Solution

The third proportional to 65,083.50 and 88,408.75 is: 120,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.50 : 88,408.75 = 88,408.75 : x
  2. Step 2: Convert to fraction form
    65,083.50/88,408.75 = 88,408.75/x
  3. Step 3: Cross multiply
    65,083.50x = 88,408.75 × 88,408.75
  4. Step 4: Simplify right side
    65,083.50x = 7,816,107,076.56
  5. Step 5: Solve for x
    x = 7,816,107,076.56/65,083.50
  6. Step 6: Final answer
    x = 120,093.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.