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Finding the Third Proportional to 106.88 and 138.94

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Solution

The third proportional to 106.88 and 138.94 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.88 : 138.94 = 138.94 : x
  2. Step 2: Convert to fraction form
    106.88/138.94 = 138.94/x
  3. Step 3: Cross multiply
    106.88x = 138.94 × 138.94
  4. Step 4: Simplify right side
    106.88x = 19,303.63
  5. Step 5: Solve for x
    x = 19,303.63/106.88
  6. Step 6: Final answer
    x = 180.62

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.