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Finding the Third Proportional to 103,894 and 158,027

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Solution

The third proportional to 103,894 and 158,027 is: 240,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,894 : 158,027 = 158,027 : x
  2. Step 2: Convert to fraction form
    103,894/158,027 = 158,027/x
  3. Step 3: Cross multiply
    103,894x = 158,027 × 158,027
  4. Step 4: Simplify right side
    103,894x = 24,972,532,729
  5. Step 5: Solve for x
    x = 24,972,532,729/103,894
  6. Step 6: Final answer
    x = 240,365.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.