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Finding the Third Proportional to 73,434 and 153,199

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Solution

The third proportional to 73,434 and 153,199 is: 319,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,434 : 153,199 = 153,199 : x
  2. Step 2: Convert to fraction form
    73,434/153,199 = 153,199/x
  3. Step 3: Cross multiply
    73,434x = 153,199 × 153,199
  4. Step 4: Simplify right side
    73,434x = 23,469,933,601
  5. Step 5: Solve for x
    x = 23,469,933,601/73,434
  6. Step 6: Final answer
    x = 319,605.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.