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Finding the Third Proportional to 132,492 and 196,936

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Solution

The third proportional to 132,492 and 196,936 is: 292,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,492 : 196,936 = 196,936 : x
  2. Step 2: Convert to fraction form
    132,492/196,936 = 196,936/x
  3. Step 3: Cross multiply
    132,492x = 196,936 × 196,936
  4. Step 4: Simplify right side
    132,492x = 38,783,788,096
  5. Step 5: Solve for x
    x = 38,783,788,096/132,492
  6. Step 6: Final answer
    x = 292,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.