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Finding the Third Proportional to 33,246 and 71,162

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Solution

The third proportional to 33,246 and 71,162 is: 152,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 71,162 = 71,162 : x
  2. Step 2: Convert to fraction form
    33,246/71,162 = 71,162/x
  3. Step 3: Cross multiply
    33,246x = 71,162 × 71,162
  4. Step 4: Simplify right side
    33,246x = 5,064,030,244
  5. Step 5: Solve for x
    x = 5,064,030,244/33,246
  6. Step 6: Final answer
    x = 152,319.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.