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Finding the Third Proportional to 75,208.50 and 160,425

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Solution

The third proportional to 75,208.50 and 160,425 is: 342,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.50 : 160,425 = 160,425 : x
  2. Step 2: Convert to fraction form
    75,208.50/160,425 = 160,425/x
  3. Step 3: Cross multiply
    75,208.50x = 160,425 × 160,425
  4. Step 4: Simplify right side
    75,208.50x = 25,736,180,625
  5. Step 5: Solve for x
    x = 25,736,180,625/75,208.50
  6. Step 6: Final answer
    x = 342,197.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.