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Finding the Third Proportional to 135,897 and 199,851

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Solution

The third proportional to 135,897 and 199,851 is: 293,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,897 : 199,851 = 199,851 : x
  2. Step 2: Convert to fraction form
    135,897/199,851 = 199,851/x
  3. Step 3: Cross multiply
    135,897x = 199,851 × 199,851
  4. Step 4: Simplify right side
    135,897x = 39,940,422,201
  5. Step 5: Solve for x
    x = 39,940,422,201/135,897
  6. Step 6: Final answer
    x = 293,902.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.