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Finding the Third Proportional to 75.41 and 164.63

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Solution

The third proportional to 75.41 and 164.63 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 164.63 = 164.63 : x
  2. Step 2: Convert to fraction form
    75.41/164.63 = 164.63/x
  3. Step 3: Cross multiply
    75.41x = 164.63 × 164.63
  4. Step 4: Simplify right side
    75.41x = 27,101.39
  5. Step 5: Solve for x
    x = 27,101.39/75.41
  6. Step 6: Final answer
    x = 359.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.