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Finding the Third Proportional to 119,169 and 261,099

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Solution

The third proportional to 119,169 and 261,099 is: 572,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169 : 261,099 = 261,099 : x
  2. Step 2: Convert to fraction form
    119,169/261,099 = 261,099/x
  3. Step 3: Cross multiply
    119,169x = 261,099 × 261,099
  4. Step 4: Simplify right side
    119,169x = 68,172,687,801
  5. Step 5: Solve for x
    x = 68,172,687,801/119,169
  6. Step 6: Final answer
    x = 572,067.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.