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Finding the Third Proportional to 144.13 and 195.63

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Solution

The third proportional to 144.13 and 195.63 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.13 : 195.63 = 195.63 : x
  2. Step 2: Convert to fraction form
    144.13/195.63 = 195.63/x
  3. Step 3: Cross multiply
    144.13x = 195.63 × 195.63
  4. Step 4: Simplify right side
    144.13x = 38,269.14
  5. Step 5: Solve for x
    x = 38,269.14/144.13
  6. Step 6: Final answer
    x = 265.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.