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Finding the Third Proportional to 136,013 and 204,542

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Solution

The third proportional to 136,013 and 204,542 is: 307,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,013 : 204,542 = 204,542 : x
  2. Step 2: Convert to fraction form
    136,013/204,542 = 204,542/x
  3. Step 3: Cross multiply
    136,013x = 204,542 × 204,542
  4. Step 4: Simplify right side
    136,013x = 41,837,429,764
  5. Step 5: Solve for x
    x = 41,837,429,764/136,013
  6. Step 6: Final answer
    x = 307,598.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.