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Finding the Third Proportional to 67,321.50 and 145,786.50

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Solution

The third proportional to 67,321.50 and 145,786.50 is: 315,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,321.50 : 145,786.50 = 145,786.50 : x
  2. Step 2: Convert to fraction form
    67,321.50/145,786.50 = 145,786.50/x
  3. Step 3: Cross multiply
    67,321.50x = 145,786.50 × 145,786.50
  4. Step 4: Simplify right side
    67,321.50x = 21,253,703,582.25
  5. Step 5: Solve for x
    x = 21,253,703,582.25/67,321.50
  6. Step 6: Final answer
    x = 315,704.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.