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Finding the Third Proportional to 119,841 and 261,132

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Solution

The third proportional to 119,841 and 261,132 is: 569,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,841 : 261,132 = 261,132 : x
  2. Step 2: Convert to fraction form
    119,841/261,132 = 261,132/x
  3. Step 3: Cross multiply
    119,841x = 261,132 × 261,132
  4. Step 4: Simplify right side
    119,841x = 68,189,921,424
  5. Step 5: Solve for x
    x = 68,189,921,424/119,841
  6. Step 6: Final answer
    x = 569,003.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.