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Finding the Third Proportional to 69.94 and 114.28

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Solution

The third proportional to 69.94 and 114.28 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 114.28 = 114.28 : x
  2. Step 2: Convert to fraction form
    69.94/114.28 = 114.28/x
  3. Step 3: Cross multiply
    69.94x = 114.28 × 114.28
  4. Step 4: Simplify right side
    69.94x = 13,060.20
  5. Step 5: Solve for x
    x = 13,060.20/69.94
  6. Step 6: Final answer
    x = 186.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.