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Finding the Third Proportional to 121,722 and 262,884

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Solution

The third proportional to 121,722 and 262,884 is: 567,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,722 : 262,884 = 262,884 : x
  2. Step 2: Convert to fraction form
    121,722/262,884 = 262,884/x
  3. Step 3: Cross multiply
    121,722x = 262,884 × 262,884
  4. Step 4: Simplify right side
    121,722x = 69,107,997,456
  5. Step 5: Solve for x
    x = 69,107,997,456/121,722
  6. Step 6: Final answer
    x = 567,752.73

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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.