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Finding the Third Proportional to 65,617.50 and 98,676.75

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Solution

The third proportional to 65,617.50 and 98,676.75 is: 148,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,617.50 : 98,676.75 = 98,676.75 : x
  2. Step 2: Convert to fraction form
    65,617.50/98,676.75 = 98,676.75/x
  3. Step 3: Cross multiply
    65,617.50x = 98,676.75 × 98,676.75
  4. Step 4: Simplify right side
    65,617.50x = 9,737,100,990.56
  5. Step 5: Solve for x
    x = 9,737,100,990.56/65,617.50
  6. Step 6: Final answer
    x = 148,391.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.