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Finding the Third Proportional to 126,345 and 274,961

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Solution

The third proportional to 126,345 and 274,961 is: 598,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,345 : 274,961 = 274,961 : x
  2. Step 2: Convert to fraction form
    126,345/274,961 = 274,961/x
  3. Step 3: Cross multiply
    126,345x = 274,961 × 274,961
  4. Step 4: Simplify right side
    126,345x = 75,603,551,521
  5. Step 5: Solve for x
    x = 75,603,551,521/126,345
  6. Step 6: Final answer
    x = 598,389.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.