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Finding the Third Proportional to 121,934 and 183,225

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Solution

The third proportional to 121,934 and 183,225 is: 275,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,934 : 183,225 = 183,225 : x
  2. Step 2: Convert to fraction form
    121,934/183,225 = 183,225/x
  3. Step 3: Cross multiply
    121,934x = 183,225 × 183,225
  4. Step 4: Simplify right side
    121,934x = 33,571,400,625
  5. Step 5: Solve for x
    x = 33,571,400,625/121,934
  6. Step 6: Final answer
    x = 275,324.36

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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.