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Finding the Third Proportional to 122,241 and 194,509

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Solution

The third proportional to 122,241 and 194,509 is: 309,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,241 : 194,509 = 194,509 : x
  2. Step 2: Convert to fraction form
    122,241/194,509 = 194,509/x
  3. Step 3: Cross multiply
    122,241x = 194,509 × 194,509
  4. Step 4: Simplify right side
    122,241x = 37,833,751,081
  5. Step 5: Solve for x
    x = 37,833,751,081/122,241
  6. Step 6: Final answer
    x = 309,501.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.