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Finding the Third Proportional to 83,234 and 127,923

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Solution

The third proportional to 83,234 and 127,923 is: 196,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234 : 127,923 = 127,923 : x
  2. Step 2: Convert to fraction form
    83,234/127,923 = 127,923/x
  3. Step 3: Cross multiply
    83,234x = 127,923 × 127,923
  4. Step 4: Simplify right side
    83,234x = 16,364,293,929
  5. Step 5: Solve for x
    x = 16,364,293,929/83,234
  6. Step 6: Final answer
    x = 196,605.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.