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Finding the Third Proportional to 100.13 and 163.88

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Solution

The third proportional to 100.13 and 163.88 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 163.88 = 163.88 : x
  2. Step 2: Convert to fraction form
    100.13/163.88 = 163.88/x
  3. Step 3: Cross multiply
    100.13x = 163.88 × 163.88
  4. Step 4: Simplify right side
    100.13x = 26,855.02
  5. Step 5: Solve for x
    x = 26,855.02/100.13
  6. Step 6: Final answer
    x = 268.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.