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Finding the Third Proportional to 96,832 and 145,200

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Solution

The third proportional to 96,832 and 145,200 is: 217,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,832 : 145,200 = 145,200 : x
  2. Step 2: Convert to fraction form
    96,832/145,200 = 145,200/x
  3. Step 3: Cross multiply
    96,832x = 145,200 × 145,200
  4. Step 4: Simplify right side
    96,832x = 21,083,040,000
  5. Step 5: Solve for x
    x = 21,083,040,000/96,832
  6. Step 6: Final answer
    x = 217,728.02

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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.