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Finding the Third Proportional to 122,926 and 189,848

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Solution

The third proportional to 122,926 and 189,848 is: 293,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,926 : 189,848 = 189,848 : x
  2. Step 2: Convert to fraction form
    122,926/189,848 = 189,848/x
  3. Step 3: Cross multiply
    122,926x = 189,848 × 189,848
  4. Step 4: Simplify right side
    122,926x = 36,042,263,104
  5. Step 5: Solve for x
    x = 36,042,263,104/122,926
  6. Step 6: Final answer
    x = 293,202.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.