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Finding the Third Proportional to 80,230.50 and 124,733.25

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Solution

The third proportional to 80,230.50 and 124,733.25 is: 193,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,230.50 : 124,733.25 = 124,733.25 : x
  2. Step 2: Convert to fraction form
    80,230.50/124,733.25 = 124,733.25/x
  3. Step 3: Cross multiply
    80,230.50x = 124,733.25 × 124,733.25
  4. Step 4: Simplify right side
    80,230.50x = 15,558,383,655.56
  5. Step 5: Solve for x
    x = 15,558,383,655.56/80,230.50
  6. Step 6: Final answer
    x = 193,921.06

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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.