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Finding the Third Proportional to 121,571 and 252,806

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Solution

The third proportional to 121,571 and 252,806 is: 525,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,571 : 252,806 = 252,806 : x
  2. Step 2: Convert to fraction form
    121,571/252,806 = 252,806/x
  3. Step 3: Cross multiply
    121,571x = 252,806 × 252,806
  4. Step 4: Simplify right side
    121,571x = 63,910,873,636
  5. Step 5: Solve for x
    x = 63,910,873,636/121,571
  6. Step 6: Final answer
    x = 525,708.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.