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Finding the Third Proportional to 136,626.75 and 206,845.88

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Solution

The third proportional to 136,626.75 and 206,845.88 is: 313,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,626.75 : 206,845.88 = 206,845.88 : x
  2. Step 2: Convert to fraction form
    136,626.75/206,845.88 = 206,845.88/x
  3. Step 3: Cross multiply
    136,626.75x = 206,845.88 × 206,845.88
  4. Step 4: Simplify right side
    136,626.75x = 42,785,216,004.52
  5. Step 5: Solve for x
    x = 42,785,216,004.52/136,626.75
  6. Step 6: Final answer
    x = 313,154.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.