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Finding the Third Proportional to 59.74 and 119.49

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Solution

The third proportional to 59.74 and 119.49 is: 238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.74 : 119.49 = 119.49 : x
  2. Step 2: Convert to fraction form
    59.74/119.49 = 119.49/x
  3. Step 3: Cross multiply
    59.74x = 119.49 × 119.49
  4. Step 4: Simplify right side
    59.74x = 14,277.77
  5. Step 5: Solve for x
    x = 14,277.77/59.74
  6. Step 6: Final answer
    x = 238.98

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.