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Finding the Third Proportional to 122,556.75 and 187,361.25

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Solution

The third proportional to 122,556.75 and 187,361.25 is: 286,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,556.75 : 187,361.25 = 187,361.25 : x
  2. Step 2: Convert to fraction form
    122,556.75/187,361.25 = 187,361.25/x
  3. Step 3: Cross multiply
    122,556.75x = 187,361.25 × 187,361.25
  4. Step 4: Simplify right side
    122,556.75x = 35,104,238,001.56
  5. Step 5: Solve for x
    x = 35,104,238,001.56/122,556.75
  6. Step 6: Final answer
    x = 286,432.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.