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Finding the Third Proportional to 61,327.75 and 126,573.75

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Solution

The third proportional to 61,327.75 and 126,573.75 is: 261,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327.75 : 126,573.75 = 126,573.75 : x
  2. Step 2: Convert to fraction form
    61,327.75/126,573.75 = 126,573.75/x
  3. Step 3: Cross multiply
    61,327.75x = 126,573.75 × 126,573.75
  4. Step 4: Simplify right side
    61,327.75x = 16,020,914,189.06
  5. Step 5: Solve for x
    x = 16,020,914,189.06/61,327.75
  6. Step 6: Final answer
    x = 261,234.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.