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Finding the Third Proportional to 103,016 and 159,425

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Solution

The third proportional to 103,016 and 159,425 is: 246,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,016 : 159,425 = 159,425 : x
  2. Step 2: Convert to fraction form
    103,016/159,425 = 159,425/x
  3. Step 3: Cross multiply
    103,016x = 159,425 × 159,425
  4. Step 4: Simplify right side
    103,016x = 25,416,330,625
  5. Step 5: Solve for x
    x = 25,416,330,625/103,016
  6. Step 6: Final answer
    x = 246,722.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.