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Finding the Third Proportional to 139.85 and 205.66

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Solution

The third proportional to 139.85 and 205.66 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.85 : 205.66 = 205.66 : x
  2. Step 2: Convert to fraction form
    139.85/205.66 = 205.66/x
  3. Step 3: Cross multiply
    139.85x = 205.66 × 205.66
  4. Step 4: Simplify right side
    139.85x = 42,297.71
  5. Step 5: Solve for x
    x = 42,297.71/139.85
  6. Step 6: Final answer
    x = 302.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.