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Finding the Third Proportional to 69,884.50 and 150,834

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Solution

The third proportional to 69,884.50 and 150,834 is: 325,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,884.50 : 150,834 = 150,834 : x
  2. Step 2: Convert to fraction form
    69,884.50/150,834 = 150,834/x
  3. Step 3: Cross multiply
    69,884.50x = 150,834 × 150,834
  4. Step 4: Simplify right side
    69,884.50x = 22,750,895,556
  5. Step 5: Solve for x
    x = 22,750,895,556/69,884.50
  6. Step 6: Final answer
    x = 325,549.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.