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Finding the Third Proportional to 41,733 and 86,229

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Solution

The third proportional to 41,733 and 86,229 is: 178,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,733 : 86,229 = 86,229 : x
  2. Step 2: Convert to fraction form
    41,733/86,229 = 86,229/x
  3. Step 3: Cross multiply
    41,733x = 86,229 × 86,229
  4. Step 4: Simplify right side
    41,733x = 7,435,440,441
  5. Step 5: Solve for x
    x = 7,435,440,441/41,733
  6. Step 6: Final answer
    x = 178,166.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.