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Finding the Third Proportional to 122,370.75 and 259,422.75

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Solution

The third proportional to 122,370.75 and 259,422.75 is: 549,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,370.75 : 259,422.75 = 259,422.75 : x
  2. Step 2: Convert to fraction form
    122,370.75/259,422.75 = 259,422.75/x
  3. Step 3: Cross multiply
    122,370.75x = 259,422.75 × 259,422.75
  4. Step 4: Simplify right side
    122,370.75x = 67,300,163,217.56
  5. Step 5: Solve for x
    x = 67,300,163,217.56/122,370.75
  6. Step 6: Final answer
    x = 549,969.36

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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.