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Finding the Third Proportional to 132,037 and 198,689

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Solution

The third proportional to 132,037 and 198,689 is: 298,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,037 : 198,689 = 198,689 : x
  2. Step 2: Convert to fraction form
    132,037/198,689 = 198,689/x
  3. Step 3: Cross multiply
    132,037x = 198,689 × 198,689
  4. Step 4: Simplify right side
    132,037x = 39,477,318,721
  5. Step 5: Solve for x
    x = 39,477,318,721/132,037
  6. Step 6: Final answer
    x = 298,986.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.