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Finding the Third Proportional to 54.84 and 122.77

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Solution

The third proportional to 54.84 and 122.77 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 122.77 = 122.77 : x
  2. Step 2: Convert to fraction form
    54.84/122.77 = 122.77/x
  3. Step 3: Cross multiply
    54.84x = 122.77 × 122.77
  4. Step 4: Simplify right side
    54.84x = 15,071.40
  5. Step 5: Solve for x
    x = 15,071.40/54.84
  6. Step 6: Final answer
    x = 274.81

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.