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Finding the Third Proportional to 51.49 and 106.36

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Solution

The third proportional to 51.49 and 106.36 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.49 : 106.36 = 106.36 : x
  2. Step 2: Convert to fraction form
    51.49/106.36 = 106.36/x
  3. Step 3: Cross multiply
    51.49x = 106.36 × 106.36
  4. Step 4: Simplify right side
    51.49x = 11,312.32
  5. Step 5: Solve for x
    x = 11,312.32/51.49
  6. Step 6: Final answer
    x = 219.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.