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Finding the Third Proportional to 80,234 and 123,336

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Solution

The third proportional to 80,234 and 123,336 is: 189,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,234 : 123,336 = 123,336 : x
  2. Step 2: Convert to fraction form
    80,234/123,336 = 123,336/x
  3. Step 3: Cross multiply
    80,234x = 123,336 × 123,336
  4. Step 4: Simplify right side
    80,234x = 15,211,768,896
  5. Step 5: Solve for x
    x = 15,211,768,896/80,234
  6. Step 6: Final answer
    x = 189,592.55

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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.