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Finding the Third Proportional to 59.94 and 140.38

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Solution

The third proportional to 59.94 and 140.38 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 140.38 = 140.38 : x
  2. Step 2: Convert to fraction form
    59.94/140.38 = 140.38/x
  3. Step 3: Cross multiply
    59.94x = 140.38 × 140.38
  4. Step 4: Simplify right side
    59.94x = 19,705.14
  5. Step 5: Solve for x
    x = 19,705.14/59.94
  6. Step 6: Final answer
    x = 328.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.