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Finding the Third Proportional to 139.54 and 217.05

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Solution

The third proportional to 139.54 and 217.05 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.54 : 217.05 = 217.05 : x
  2. Step 2: Convert to fraction form
    139.54/217.05 = 217.05/x
  3. Step 3: Cross multiply
    139.54x = 217.05 × 217.05
  4. Step 4: Simplify right side
    139.54x = 47,112.74
  5. Step 5: Solve for x
    x = 47,112.74/139.54
  6. Step 6: Final answer
    x = 337.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.