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Finding the Third Proportional to 136,526 and 203,734

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Solution

The third proportional to 136,526 and 203,734 is: 304,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,526 : 203,734 = 203,734 : x
  2. Step 2: Convert to fraction form
    136,526/203,734 = 203,734/x
  3. Step 3: Cross multiply
    136,526x = 203,734 × 203,734
  4. Step 4: Simplify right side
    136,526x = 41,507,542,756
  5. Step 5: Solve for x
    x = 41,507,542,756/136,526
  6. Step 6: Final answer
    x = 304,026.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.