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Finding the Third Proportional to 61,469 and 125,194

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Solution

The third proportional to 61,469 and 125,194 is: 254,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,469 : 125,194 = 125,194 : x
  2. Step 2: Convert to fraction form
    61,469/125,194 = 125,194/x
  3. Step 3: Cross multiply
    61,469x = 125,194 × 125,194
  4. Step 4: Simplify right side
    61,469x = 15,673,537,636
  5. Step 5: Solve for x
    x = 15,673,537,636/61,469
  6. Step 6: Final answer
    x = 254,982.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.