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Finding the Third Proportional to 72,964.13 and 157,183.88

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Solution

The third proportional to 72,964.13 and 157,183.88 is: 338,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.13 : 157,183.88 = 157,183.88 : x
  2. Step 2: Convert to fraction form
    72,964.13/157,183.88 = 157,183.88/x
  3. Step 3: Cross multiply
    72,964.13x = 157,183.88 × 157,183.88
  4. Step 4: Simplify right side
    72,964.13x = 24,706,770,560.02
  5. Step 5: Solve for x
    x = 24,706,770,560.02/72,964.13
  6. Step 6: Final answer
    x = 338,615.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.