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Finding the Third Proportional to 136,524 and 206,692

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Solution

The third proportional to 136,524 and 206,692 is: 312,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,524 : 206,692 = 206,692 : x
  2. Step 2: Convert to fraction form
    136,524/206,692 = 206,692/x
  3. Step 3: Cross multiply
    136,524x = 206,692 × 206,692
  4. Step 4: Simplify right side
    136,524x = 42,721,582,864
  5. Step 5: Solve for x
    x = 42,721,582,864/136,524
  6. Step 6: Final answer
    x = 312,923.61

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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.