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Finding the Third Proportional to 117,004.50 and 192,192.75

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Solution

The third proportional to 117,004.50 and 192,192.75 is: 315,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004.50 : 192,192.75 = 192,192.75 : x
  2. Step 2: Convert to fraction form
    117,004.50/192,192.75 = 192,192.75/x
  3. Step 3: Cross multiply
    117,004.50x = 192,192.75 × 192,192.75
  4. Step 4: Simplify right side
    117,004.50x = 36,938,053,152.56
  5. Step 5: Solve for x
    x = 36,938,053,152.56/117,004.50
  6. Step 6: Final answer
    x = 315,697.71

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.