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Finding the Third Proportional to 122,272 and 252,152

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Solution

The third proportional to 122,272 and 252,152 is: 519,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,272 : 252,152 = 252,152 : x
  2. Step 2: Convert to fraction form
    122,272/252,152 = 252,152/x
  3. Step 3: Cross multiply
    122,272x = 252,152 × 252,152
  4. Step 4: Simplify right side
    122,272x = 63,580,631,104
  5. Step 5: Solve for x
    x = 63,580,631,104/122,272
  6. Step 6: Final answer
    x = 519,993.38

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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.