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Finding the Third Proportional to 126,927 and 275,737

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Solution

The third proportional to 126,927 and 275,737 is: 599,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927 : 275,737 = 275,737 : x
  2. Step 2: Convert to fraction form
    126,927/275,737 = 275,737/x
  3. Step 3: Cross multiply
    126,927x = 275,737 × 275,737
  4. Step 4: Simplify right side
    126,927x = 76,030,893,169
  5. Step 5: Solve for x
    x = 76,030,893,169/126,927
  6. Step 6: Final answer
    x = 599,012.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.