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Finding the Third Proportional to 128,094 and 192,553.50

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Solution

The third proportional to 128,094 and 192,553.50 is: 289,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,094 : 192,553.50 = 192,553.50 : x
  2. Step 2: Convert to fraction form
    128,094/192,553.50 = 192,553.50/x
  3. Step 3: Cross multiply
    128,094x = 192,553.50 × 192,553.50
  4. Step 4: Simplify right side
    128,094x = 37,076,850,362.25
  5. Step 5: Solve for x
    x = 37,076,850,362.25/128,094
  6. Step 6: Final answer
    x = 289,450.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.