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Finding the Third Proportional to 132,124 and 198,229

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Solution

The third proportional to 132,124 and 198,229 is: 297,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,124 : 198,229 = 198,229 : x
  2. Step 2: Convert to fraction form
    132,124/198,229 = 198,229/x
  3. Step 3: Cross multiply
    132,124x = 198,229 × 198,229
  4. Step 4: Simplify right side
    132,124x = 39,294,736,441
  5. Step 5: Solve for x
    x = 39,294,736,441/132,124
  6. Step 6: Final answer
    x = 297,408.01

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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.