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Finding the Third Proportional to 30,200.50 and 68,230.75

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Solution

The third proportional to 30,200.50 and 68,230.75 is: 154,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.50 : 68,230.75 = 68,230.75 : x
  2. Step 2: Convert to fraction form
    30,200.50/68,230.75 = 68,230.75/x
  3. Step 3: Cross multiply
    30,200.50x = 68,230.75 × 68,230.75
  4. Step 4: Simplify right side
    30,200.50x = 4,655,435,245.56
  5. Step 5: Solve for x
    x = 4,655,435,245.56/30,200.50
  6. Step 6: Final answer
    x = 154,150.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.