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Finding the Third Proportional to 122,373 and 188,149.50

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Solution

The third proportional to 122,373 and 188,149.50 is: 289,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,373 : 188,149.50 = 188,149.50 : x
  2. Step 2: Convert to fraction form
    122,373/188,149.50 = 188,149.50/x
  3. Step 3: Cross multiply
    122,373x = 188,149.50 × 188,149.50
  4. Step 4: Simplify right side
    122,373x = 35,400,234,350.25
  5. Step 5: Solve for x
    x = 35,400,234,350.25/122,373
  6. Step 6: Final answer
    x = 289,281.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.