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Finding the Third Proportional to 135,924 and 199,881

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Solution

The third proportional to 135,924 and 199,881 is: 293,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,924 : 199,881 = 199,881 : x
  2. Step 2: Convert to fraction form
    135,924/199,881 = 199,881/x
  3. Step 3: Cross multiply
    135,924x = 199,881 × 199,881
  4. Step 4: Simplify right side
    135,924x = 39,952,414,161
  5. Step 5: Solve for x
    x = 39,952,414,161/135,924
  6. Step 6: Final answer
    x = 293,932.01

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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.