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Finding the Third Proportional to 121,536 and 262,512

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Solution

The third proportional to 121,536 and 262,512 is: 567,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,536 : 262,512 = 262,512 : x
  2. Step 2: Convert to fraction form
    121,536/262,512 = 262,512/x
  3. Step 3: Cross multiply
    121,536x = 262,512 × 262,512
  4. Step 4: Simplify right side
    121,536x = 68,912,550,144
  5. Step 5: Solve for x
    x = 68,912,550,144/121,536
  6. Step 6: Final answer
    x = 567,013.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.