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Finding the Third Proportional to 122,775 and 182,205

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Solution

The third proportional to 122,775 and 182,205 is: 270,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,775 : 182,205 = 182,205 : x
  2. Step 2: Convert to fraction form
    122,775/182,205 = 182,205/x
  3. Step 3: Cross multiply
    122,775x = 182,205 × 182,205
  4. Step 4: Simplify right side
    122,775x = 33,198,662,025
  5. Step 5: Solve for x
    x = 33,198,662,025/122,775
  6. Step 6: Final answer
    x = 270,402.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.