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Finding the Third Proportional to 144.06 and 193.63

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Solution

The third proportional to 144.06 and 193.63 is: 260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 193.63 = 193.63 : x
  2. Step 2: Convert to fraction form
    144.06/193.63 = 193.63/x
  3. Step 3: Cross multiply
    144.06x = 193.63 × 193.63
  4. Step 4: Simplify right side
    144.06x = 37,490.64
  5. Step 5: Solve for x
    x = 37,490.64/144.06
  6. Step 6: Final answer
    x = 260.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.