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Finding the Third Proportional to 128,052 and 192,132

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Solution

The third proportional to 128,052 and 192,132 is: 288,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,052 : 192,132 = 192,132 : x
  2. Step 2: Convert to fraction form
    128,052/192,132 = 192,132/x
  3. Step 3: Cross multiply
    128,052x = 192,132 × 192,132
  4. Step 4: Simplify right side
    128,052x = 36,914,705,424
  5. Step 5: Solve for x
    x = 36,914,705,424/128,052
  6. Step 6: Final answer
    x = 288,279.02

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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.