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Finding the Third Proportional to 83,450 and 129,450

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Solution

The third proportional to 83,450 and 129,450 is: 200,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,450 : 129,450 = 129,450 : x
  2. Step 2: Convert to fraction form
    83,450/129,450 = 129,450/x
  3. Step 3: Cross multiply
    83,450x = 129,450 × 129,450
  4. Step 4: Simplify right side
    83,450x = 16,757,302,500
  5. Step 5: Solve for x
    x = 16,757,302,500/83,450
  6. Step 6: Final answer
    x = 200,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.