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Finding the Third Proportional to 63 and 100.75

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Solution

The third proportional to 63 and 100.75 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 100.75 = 100.75 : x
  2. Step 2: Convert to fraction form
    63/100.75 = 100.75/x
  3. Step 3: Cross multiply
    63x = 100.75 × 100.75
  4. Step 4: Simplify right side
    63x = 10,150.56
  5. Step 5: Solve for x
    x = 10,150.56/63
  6. Step 6: Final answer
    x = 161.12

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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.