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Finding the Third Proportional to 101.67 and 153.35

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Solution

The third proportional to 101.67 and 153.35 is: 231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 153.35 = 153.35 : x
  2. Step 2: Convert to fraction form
    101.67/153.35 = 153.35/x
  3. Step 3: Cross multiply
    101.67x = 153.35 × 153.35
  4. Step 4: Simplify right side
    101.67x = 23,516.70
  5. Step 5: Solve for x
    x = 23,516.70/101.67
  6. Step 6: Final answer
    x = 231.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.