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Finding the Third Proportional to 73.94 and 157.94

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Solution

The third proportional to 73.94 and 157.94 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 157.94 = 157.94 : x
  2. Step 2: Convert to fraction form
    73.94/157.94 = 157.94/x
  3. Step 3: Cross multiply
    73.94x = 157.94 × 157.94
  4. Step 4: Simplify right side
    73.94x = 24,944.25
  5. Step 5: Solve for x
    x = 24,944.25/73.94
  6. Step 6: Final answer
    x = 337.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.