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Finding the Third Proportional to 102 and 163.50

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Solution

The third proportional to 102 and 163.50 is: 262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 163.50 = 163.50 : x
  2. Step 2: Convert to fraction form
    102/163.50 = 163.50/x
  3. Step 3: Cross multiply
    102x = 163.50 × 163.50
  4. Step 4: Simplify right side
    102x = 26,732.25
  5. Step 5: Solve for x
    x = 26,732.25/102
  6. Step 6: Final answer
    x = 262.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.