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Finding the Third Proportional to 121,860 and 259,240

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Solution

The third proportional to 121,860 and 259,240 is: 551,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,860 : 259,240 = 259,240 : x
  2. Step 2: Convert to fraction form
    121,860/259,240 = 259,240/x
  3. Step 3: Cross multiply
    121,860x = 259,240 × 259,240
  4. Step 4: Simplify right side
    121,860x = 67,205,377,600
  5. Step 5: Solve for x
    x = 67,205,377,600/121,860
  6. Step 6: Final answer
    x = 551,496.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.