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Finding the Third Proportional to 129,583.50 and 193,375.50

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Solution

The third proportional to 129,583.50 and 193,375.50 is: 288,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,583.50 : 193,375.50 = 193,375.50 : x
  2. Step 2: Convert to fraction form
    129,583.50/193,375.50 = 193,375.50/x
  3. Step 3: Cross multiply
    129,583.50x = 193,375.50 × 193,375.50
  4. Step 4: Simplify right side
    129,583.50x = 37,394,084,000.25
  5. Step 5: Solve for x
    x = 37,394,084,000.25/129,583.50
  6. Step 6: Final answer
    x = 288,571.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.