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Finding the Third Proportional to 65,027 and 122,278

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Solution

The third proportional to 65,027 and 122,278 is: 229,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027 : 122,278 = 122,278 : x
  2. Step 2: Convert to fraction form
    65,027/122,278 = 122,278/x
  3. Step 3: Cross multiply
    65,027x = 122,278 × 122,278
  4. Step 4: Simplify right side
    65,027x = 14,951,909,284
  5. Step 5: Solve for x
    x = 14,951,909,284/65,027
  6. Step 6: Final answer
    x = 229,933.86

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.