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Finding the Third Proportional to 122.94 and 180.47

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Solution

The third proportional to 122.94 and 180.47 is: 264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.94 : 180.47 = 180.47 : x
  2. Step 2: Convert to fraction form
    122.94/180.47 = 180.47/x
  3. Step 3: Cross multiply
    122.94x = 180.47 × 180.47
  4. Step 4: Simplify right side
    122.94x = 32,568.97
  5. Step 5: Solve for x
    x = 32,568.97/122.94
  6. Step 6: Final answer
    x = 264.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.