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Finding the Third Proportional to 53,725 and 126,375

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Solution

The third proportional to 53,725 and 126,375 is: 297,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,725 : 126,375 = 126,375 : x
  2. Step 2: Convert to fraction form
    53,725/126,375 = 126,375/x
  3. Step 3: Cross multiply
    53,725x = 126,375 × 126,375
  4. Step 4: Simplify right side
    53,725x = 15,970,640,625
  5. Step 5: Solve for x
    x = 15,970,640,625/53,725
  6. Step 6: Final answer
    x = 297,266.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.