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Finding the Third Proportional to 126,956 and 270,361

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Solution

The third proportional to 126,956 and 270,361 is: 575,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,956 : 270,361 = 270,361 : x
  2. Step 2: Convert to fraction form
    126,956/270,361 = 270,361/x
  3. Step 3: Cross multiply
    126,956x = 270,361 × 270,361
  4. Step 4: Simplify right side
    126,956x = 73,095,070,321
  5. Step 5: Solve for x
    x = 73,095,070,321/126,956
  6. Step 6: Final answer
    x = 575,751.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.