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Finding the Third Proportional to 122,208.75 and 259,179.75

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Solution

The third proportional to 122,208.75 and 259,179.75 is: 549,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,208.75 : 259,179.75 = 259,179.75 : x
  2. Step 2: Convert to fraction form
    122,208.75/259,179.75 = 259,179.75/x
  3. Step 3: Cross multiply
    122,208.75x = 259,179.75 × 259,179.75
  4. Step 4: Simplify right side
    122,208.75x = 67,174,142,810.06
  5. Step 5: Solve for x
    x = 67,174,142,810.06/122,208.75
  6. Step 6: Final answer
    x = 549,667.21

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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.