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Finding the Third Proportional to 69 and 146.50

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Solution

The third proportional to 69 and 146.50 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 146.50 = 146.50 : x
  2. Step 2: Convert to fraction form
    69/146.50 = 146.50/x
  3. Step 3: Cross multiply
    69x = 146.50 × 146.50
  4. Step 4: Simplify right side
    69x = 21,462.25
  5. Step 5: Solve for x
    x = 21,462.25/69
  6. Step 6: Final answer
    x = 311.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.