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Finding the Third Proportional to 70,594.50 and 151,425

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Solution

The third proportional to 70,594.50 and 151,425 is: 324,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594.50 : 151,425 = 151,425 : x
  2. Step 2: Convert to fraction form
    70,594.50/151,425 = 151,425/x
  3. Step 3: Cross multiply
    70,594.50x = 151,425 × 151,425
  4. Step 4: Simplify right side
    70,594.50x = 22,929,530,625
  5. Step 5: Solve for x
    x = 22,929,530,625/70,594.50
  6. Step 6: Final answer
    x = 324,806.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.