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Finding the Third Proportional to 73.62 and 157.99

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Solution

The third proportional to 73.62 and 157.99 is: 339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.62 : 157.99 = 157.99 : x
  2. Step 2: Convert to fraction form
    73.62/157.99 = 157.99/x
  3. Step 3: Cross multiply
    73.62x = 157.99 × 157.99
  4. Step 4: Simplify right side
    73.62x = 24,961.53
  5. Step 5: Solve for x
    x = 24,961.53/73.62
  6. Step 6: Final answer
    x = 339.07

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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.