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Finding the Third Proportional to 122.77 and 182.46

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Solution

The third proportional to 122.77 and 182.46 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 182.46 = 182.46 : x
  2. Step 2: Convert to fraction form
    122.77/182.46 = 182.46/x
  3. Step 3: Cross multiply
    122.77x = 182.46 × 182.46
  4. Step 4: Simplify right side
    122.77x = 33,291.99
  5. Step 5: Solve for x
    x = 33,291.99/122.77
  6. Step 6: Final answer
    x = 271.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.