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Finding the Third Proportional to 134,133 and 198,891

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Solution

The third proportional to 134,133 and 198,891 is: 294,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,133 : 198,891 = 198,891 : x
  2. Step 2: Convert to fraction form
    134,133/198,891 = 198,891/x
  3. Step 3: Cross multiply
    134,133x = 198,891 × 198,891
  4. Step 4: Simplify right side
    134,133x = 39,557,629,881
  5. Step 5: Solve for x
    x = 39,557,629,881/134,133
  6. Step 6: Final answer
    x = 294,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.