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Finding the Third Proportional to 83,270 and 126,990

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Solution

The third proportional to 83,270 and 126,990 is: 193,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270 : 126,990 = 126,990 : x
  2. Step 2: Convert to fraction form
    83,270/126,990 = 126,990/x
  3. Step 3: Cross multiply
    83,270x = 126,990 × 126,990
  4. Step 4: Simplify right side
    83,270x = 16,126,460,100
  5. Step 5: Solve for x
    x = 16,126,460,100/83,270
  6. Step 6: Final answer
    x = 193,664.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.