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Finding the Third Proportional to 52.94 and 80.94

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Solution

The third proportional to 52.94 and 80.94 is: 123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 80.94 = 80.94 : x
  2. Step 2: Convert to fraction form
    52.94/80.94 = 80.94/x
  3. Step 3: Cross multiply
    52.94x = 80.94 × 80.94
  4. Step 4: Simplify right side
    52.94x = 6,550.88
  5. Step 5: Solve for x
    x = 6,550.88/52.94
  6. Step 6: Final answer
    x = 123.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.