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Finding the Third Proportional to 75.66 and 164.06

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Solution

The third proportional to 75.66 and 164.06 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 164.06 = 164.06 : x
  2. Step 2: Convert to fraction form
    75.66/164.06 = 164.06/x
  3. Step 3: Cross multiply
    75.66x = 164.06 × 164.06
  4. Step 4: Simplify right side
    75.66x = 26,916.50
  5. Step 5: Solve for x
    x = 26,916.50/75.66
  6. Step 6: Final answer
    x = 355.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.