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Finding the Third Proportional to 136,103 and 200,266

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Solution

The third proportional to 136,103 and 200,266 is: 294,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,103 : 200,266 = 200,266 : x
  2. Step 2: Convert to fraction form
    136,103/200,266 = 200,266/x
  3. Step 3: Cross multiply
    136,103x = 200,266 × 200,266
  4. Step 4: Simplify right side
    136,103x = 40,106,470,756
  5. Step 5: Solve for x
    x = 40,106,470,756/136,103
  6. Step 6: Final answer
    x = 294,677.35

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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.