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Finding the Third Proportional to 122.63 and 180.38

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Solution

The third proportional to 122.63 and 180.38 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 180.38 = 180.38 : x
  2. Step 2: Convert to fraction form
    122.63/180.38 = 180.38/x
  3. Step 3: Cross multiply
    122.63x = 180.38 × 180.38
  4. Step 4: Simplify right side
    122.63x = 32,535.14
  5. Step 5: Solve for x
    x = 32,535.14/122.63
  6. Step 6: Final answer
    x = 265.32

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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.