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Finding the Third Proportional to 74.88 and 119.13

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Solution

The third proportional to 74.88 and 119.13 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 119.13 = 119.13 : x
  2. Step 2: Convert to fraction form
    74.88/119.13 = 119.13/x
  3. Step 3: Cross multiply
    74.88x = 119.13 × 119.13
  4. Step 4: Simplify right side
    74.88x = 14,190.77
  5. Step 5: Solve for x
    x = 14,190.77/74.88
  6. Step 6: Final answer
    x = 189.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.