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Finding the Third Proportional to 72,960.75 and 113,997.38

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Solution

The third proportional to 72,960.75 and 113,997.38 is: 178,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960.75 : 113,997.38 = 113,997.38 : x
  2. Step 2: Convert to fraction form
    72,960.75/113,997.38 = 113,997.38/x
  3. Step 3: Cross multiply
    72,960.75x = 113,997.38 × 113,997.38
  4. Step 4: Simplify right side
    72,960.75x = 12,995,401,506.89
  5. Step 5: Solve for x
    x = 12,995,401,506.89/72,960.75
  6. Step 6: Final answer
    x = 178,114.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.