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Finding the Third Proportional to 120,562 and 261,194

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Solution

The third proportional to 120,562 and 261,194 is: 565,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,562 : 261,194 = 261,194 : x
  2. Step 2: Convert to fraction form
    120,562/261,194 = 261,194/x
  3. Step 3: Cross multiply
    120,562x = 261,194 × 261,194
  4. Step 4: Simplify right side
    120,562x = 68,222,305,636
  5. Step 5: Solve for x
    x = 68,222,305,636/120,562
  6. Step 6: Final answer
    x = 565,869.06

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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.