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Finding the Third Proportional to 119,622 and 259,062

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Solution

The third proportional to 119,622 and 259,062 is: 561,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,622 : 259,062 = 259,062 : x
  2. Step 2: Convert to fraction form
    119,622/259,062 = 259,062/x
  3. Step 3: Cross multiply
    119,622x = 259,062 × 259,062
  4. Step 4: Simplify right side
    119,622x = 67,113,119,844
  5. Step 5: Solve for x
    x = 67,113,119,844/119,622
  6. Step 6: Final answer
    x = 561,043.29

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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.