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Finding the Third Proportional to 128,749.50 and 192,393.75

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Solution

The third proportional to 128,749.50 and 192,393.75 is: 287,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,749.50 : 192,393.75 = 192,393.75 : x
  2. Step 2: Convert to fraction form
    128,749.50/192,393.75 = 192,393.75/x
  3. Step 3: Cross multiply
    128,749.50x = 192,393.75 × 192,393.75
  4. Step 4: Simplify right side
    128,749.50x = 37,015,355,039.06
  5. Step 5: Solve for x
    x = 37,015,355,039.06/128,749.50
  6. Step 6: Final answer
    x = 287,499.02

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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.