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Finding the Third Proportional to 114 and 176

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Solution

The third proportional to 114 and 176 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 176 = 176 : x
  2. Step 2: Convert to fraction form
    114/176 = 176/x
  3. Step 3: Cross multiply
    114x = 176 × 176
  4. Step 4: Simplify right side
    114x = 30,976
  5. Step 5: Solve for x
    x = 30,976/114
  6. Step 6: Final answer
    x = 271.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.