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Finding the Third Proportional to 118.84 and 127.84

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Solution

The third proportional to 118.84 and 127.84 is: 137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 127.84 = 127.84 : x
  2. Step 2: Convert to fraction form
    118.84/127.84 = 127.84/x
  3. Step 3: Cross multiply
    118.84x = 127.84 × 127.84
  4. Step 4: Simplify right side
    118.84x = 16,344.02
  5. Step 5: Solve for x
    x = 16,344.02/118.84
  6. Step 6: Final answer
    x = 137.53

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.