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Finding the Third Proportional to 72,616.75 and 120,004.75

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Solution

The third proportional to 72,616.75 and 120,004.75 is: 198,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,616.75 : 120,004.75 = 120,004.75 : x
  2. Step 2: Convert to fraction form
    72,616.75/120,004.75 = 120,004.75/x
  3. Step 3: Cross multiply
    72,616.75x = 120,004.75 × 120,004.75
  4. Step 4: Simplify right side
    72,616.75x = 14,401,140,022.56
  5. Step 5: Solve for x
    x = 14,401,140,022.56/72,616.75
  6. Step 6: Final answer
    x = 198,317.06

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.