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Finding the Third Proportional to 126,911 and 275,044

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Solution

The third proportional to 126,911 and 275,044 is: 596,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,911 : 275,044 = 275,044 : x
  2. Step 2: Convert to fraction form
    126,911/275,044 = 275,044/x
  3. Step 3: Cross multiply
    126,911x = 275,044 × 275,044
  4. Step 4: Simplify right side
    126,911x = 75,649,201,936
  5. Step 5: Solve for x
    x = 75,649,201,936/126,911
  6. Step 6: Final answer
    x = 596,080.73

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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.