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Finding the Third Proportional to 122,252 and 255,682

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Solution

The third proportional to 122,252 and 255,682 is: 534,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,252 : 255,682 = 255,682 : x
  2. Step 2: Convert to fraction form
    122,252/255,682 = 255,682/x
  3. Step 3: Cross multiply
    122,252x = 255,682 × 255,682
  4. Step 4: Simplify right side
    122,252x = 65,373,285,124
  5. Step 5: Solve for x
    x = 65,373,285,124/122,252
  6. Step 6: Final answer
    x = 534,742.05

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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.