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Finding the Third Proportional to 122,973.50 and 188,028.75

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Solution

The third proportional to 122,973.50 and 188,028.75 is: 287,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,973.50 : 188,028.75 = 188,028.75 : x
  2. Step 2: Convert to fraction form
    122,973.50/188,028.75 = 188,028.75/x
  3. Step 3: Cross multiply
    122,973.50x = 188,028.75 × 188,028.75
  4. Step 4: Simplify right side
    122,973.50x = 35,354,810,826.56
  5. Step 5: Solve for x
    x = 35,354,810,826.56/122,973.50
  6. Step 6: Final answer
    x = 287,499.43

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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.