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Finding the Third Proportional to 83,143.50 and 188,481

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Solution

The third proportional to 83,143.50 and 188,481 is: 427,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.50 : 188,481 = 188,481 : x
  2. Step 2: Convert to fraction form
    83,143.50/188,481 = 188,481/x
  3. Step 3: Cross multiply
    83,143.50x = 188,481 × 188,481
  4. Step 4: Simplify right side
    83,143.50x = 35,525,087,361
  5. Step 5: Solve for x
    x = 35,525,087,361/83,143.50
  6. Step 6: Final answer
    x = 427,274.38

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.