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Finding the Third Proportional to 136,844 and 204,720

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Solution

The third proportional to 136,844 and 204,720 is: 306,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,844 : 204,720 = 204,720 : x
  2. Step 2: Convert to fraction form
    136,844/204,720 = 204,720/x
  3. Step 3: Cross multiply
    136,844x = 204,720 × 204,720
  4. Step 4: Simplify right side
    136,844x = 41,910,278,400
  5. Step 5: Solve for x
    x = 41,910,278,400/136,844
  6. Step 6: Final answer
    x = 306,263.18

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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.