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Finding the Third Proportional to 122,259 and 252,375

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Solution

The third proportional to 122,259 and 252,375 is: 520,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,259 : 252,375 = 252,375 : x
  2. Step 2: Convert to fraction form
    122,259/252,375 = 252,375/x
  3. Step 3: Cross multiply
    122,259x = 252,375 × 252,375
  4. Step 4: Simplify right side
    122,259x = 63,693,140,625
  5. Step 5: Solve for x
    x = 63,693,140,625/122,259
  6. Step 6: Final answer
    x = 520,968.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.