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Finding the Third Proportional to 136,586 and 206,783

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Solution

The third proportional to 136,586 and 206,783 is: 313,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586 : 206,783 = 206,783 : x
  2. Step 2: Convert to fraction form
    136,586/206,783 = 206,783/x
  3. Step 3: Cross multiply
    136,586x = 206,783 × 206,783
  4. Step 4: Simplify right side
    136,586x = 42,759,209,089
  5. Step 5: Solve for x
    x = 42,759,209,089/136,586
  6. Step 6: Final answer
    x = 313,057.04

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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.