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Finding the Third Proportional to 132.05 and 192.16

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Solution

The third proportional to 132.05 and 192.16 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 192.16 = 192.16 : x
  2. Step 2: Convert to fraction form
    132.05/192.16 = 192.16/x
  3. Step 3: Cross multiply
    132.05x = 192.16 × 192.16
  4. Step 4: Simplify right side
    132.05x = 36,927.03
  5. Step 5: Solve for x
    x = 36,927.03/132.05
  6. Step 6: Final answer
    x = 279.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.