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Finding the Third Proportional to 101.63 and 168.84

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Solution

The third proportional to 101.63 and 168.84 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.63 : 168.84 = 168.84 : x
  2. Step 2: Convert to fraction form
    101.63/168.84 = 168.84/x
  3. Step 3: Cross multiply
    101.63x = 168.84 × 168.84
  4. Step 4: Simplify right side
    101.63x = 28,508.21
  5. Step 5: Solve for x
    x = 28,508.21/101.63
  6. Step 6: Final answer
    x = 280.52

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.