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Finding the Third Proportional to 61,189 and 125,672

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Solution

The third proportional to 61,189 and 125,672 is: 258,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,189 : 125,672 = 125,672 : x
  2. Step 2: Convert to fraction form
    61,189/125,672 = 125,672/x
  3. Step 3: Cross multiply
    61,189x = 125,672 × 125,672
  4. Step 4: Simplify right side
    61,189x = 15,793,451,584
  5. Step 5: Solve for x
    x = 15,793,451,584/61,189
  6. Step 6: Final answer
    x = 258,109.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.