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Finding the Third Proportional to 122,262 and 259,242

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Solution

The third proportional to 122,262 and 259,242 is: 549,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,262 : 259,242 = 259,242 : x
  2. Step 2: Convert to fraction form
    122,262/259,242 = 259,242/x
  3. Step 3: Cross multiply
    122,262x = 259,242 × 259,242
  4. Step 4: Simplify right side
    122,262x = 67,206,414,564
  5. Step 5: Solve for x
    x = 67,206,414,564/122,262
  6. Step 6: Final answer
    x = 549,691.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.