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Finding the Third Proportional to 33,521 and 66,196

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Solution

The third proportional to 33,521 and 66,196 is: 130,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521 : 66,196 = 66,196 : x
  2. Step 2: Convert to fraction form
    33,521/66,196 = 66,196/x
  3. Step 3: Cross multiply
    33,521x = 66,196 × 66,196
  4. Step 4: Simplify right side
    33,521x = 4,381,910,416
  5. Step 5: Solve for x
    x = 4,381,910,416/33,521
  6. Step 6: Final answer
    x = 130,721.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.