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Finding the Third Proportional to 119,636 and 259,092

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Solution

The third proportional to 119,636 and 259,092 is: 561,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636 : 259,092 = 259,092 : x
  2. Step 2: Convert to fraction form
    119,636/259,092 = 259,092/x
  3. Step 3: Cross multiply
    119,636x = 259,092 × 259,092
  4. Step 4: Simplify right side
    119,636x = 67,128,664,464
  5. Step 5: Solve for x
    x = 67,128,664,464/119,636
  6. Step 6: Final answer
    x = 561,107.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.