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Finding the Third Proportional to 75,313.50 and 160,635

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Solution

The third proportional to 75,313.50 and 160,635 is: 342,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.50 : 160,635 = 160,635 : x
  2. Step 2: Convert to fraction form
    75,313.50/160,635 = 160,635/x
  3. Step 3: Cross multiply
    75,313.50x = 160,635 × 160,635
  4. Step 4: Simplify right side
    75,313.50x = 25,803,603,225
  5. Step 5: Solve for x
    x = 25,803,603,225/75,313.50
  6. Step 6: Final answer
    x = 342,615.91

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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.