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Finding the Third Proportional to 49.50 and 113.06

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Solution

The third proportional to 49.50 and 113.06 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 113.06 = 113.06 : x
  2. Step 2: Convert to fraction form
    49.50/113.06 = 113.06/x
  3. Step 3: Cross multiply
    49.50x = 113.06 × 113.06
  4. Step 4: Simplify right side
    49.50x = 12,783.13
  5. Step 5: Solve for x
    x = 12,783.13/49.50
  6. Step 6: Final answer
    x = 258.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.