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Finding the Third Proportional to 50.31 and 111.06

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Solution

The third proportional to 50.31 and 111.06 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.31 : 111.06 = 111.06 : x
  2. Step 2: Convert to fraction form
    50.31/111.06 = 111.06/x
  3. Step 3: Cross multiply
    50.31x = 111.06 × 111.06
  4. Step 4: Simplify right side
    50.31x = 12,334.01
  5. Step 5: Solve for x
    x = 12,334.01/50.31
  6. Step 6: Final answer
    x = 245.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.