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Finding the Third Proportional to 122,022 and 285,071

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Solution

The third proportional to 122,022 and 285,071 is: 665,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,022 : 285,071 = 285,071 : x
  2. Step 2: Convert to fraction form
    122,022/285,071 = 285,071/x
  3. Step 3: Cross multiply
    122,022x = 285,071 × 285,071
  4. Step 4: Simplify right side
    122,022x = 81,265,475,041
  5. Step 5: Solve for x
    x = 81,265,475,041/122,022
  6. Step 6: Final answer
    x = 665,990.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.