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Finding the Third Proportional to 122,707 and 259,558

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Solution

The third proportional to 122,707 and 259,558 is: 549,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,707 : 259,558 = 259,558 : x
  2. Step 2: Convert to fraction form
    122,707/259,558 = 259,558/x
  3. Step 3: Cross multiply
    122,707x = 259,558 × 259,558
  4. Step 4: Simplify right side
    122,707x = 67,370,355,364
  5. Step 5: Solve for x
    x = 67,370,355,364/122,707
  6. Step 6: Final answer
    x = 549,034.33

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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.