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Finding the Third Proportional to 122,107.50 and 188,697

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Solution

The third proportional to 122,107.50 and 188,697 is: 291,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107.50 : 188,697 = 188,697 : x
  2. Step 2: Convert to fraction form
    122,107.50/188,697 = 188,697/x
  3. Step 3: Cross multiply
    122,107.50x = 188,697 × 188,697
  4. Step 4: Simplify right side
    122,107.50x = 35,606,557,809
  5. Step 5: Solve for x
    x = 35,606,557,809/122,107.50
  6. Step 6: Final answer
    x = 291,600.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.