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Finding the Third Proportional to 139.69 and 186.94

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Solution

The third proportional to 139.69 and 186.94 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.69 : 186.94 = 186.94 : x
  2. Step 2: Convert to fraction form
    139.69/186.94 = 186.94/x
  3. Step 3: Cross multiply
    139.69x = 186.94 × 186.94
  4. Step 4: Simplify right side
    139.69x = 34,945.63
  5. Step 5: Solve for x
    x = 34,945.63/139.69
  6. Step 6: Final answer
    x = 250.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.