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Finding the Third Proportional to 142,750 and 192,285

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Solution

The third proportional to 142,750 and 192,285 is: 259,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750 : 192,285 = 192,285 : x
  2. Step 2: Convert to fraction form
    142,750/192,285 = 192,285/x
  3. Step 3: Cross multiply
    142,750x = 192,285 × 192,285
  4. Step 4: Simplify right side
    142,750x = 36,973,521,225
  5. Step 5: Solve for x
    x = 36,973,521,225/142,750
  6. Step 6: Final answer
    x = 259,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.