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Finding the Third Proportional to 102.88 and 163.56

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Solution

The third proportional to 102.88 and 163.56 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 163.56 = 163.56 : x
  2. Step 2: Convert to fraction form
    102.88/163.56 = 163.56/x
  3. Step 3: Cross multiply
    102.88x = 163.56 × 163.56
  4. Step 4: Simplify right side
    102.88x = 26,752.69
  5. Step 5: Solve for x
    x = 26,752.69/102.88
  6. Step 6: Final answer
    x = 260.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.