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Finding the Third Proportional to 125,544 and 192,324

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Solution

The third proportional to 125,544 and 192,324 is: 294,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,544 : 192,324 = 192,324 : x
  2. Step 2: Convert to fraction form
    125,544/192,324 = 192,324/x
  3. Step 3: Cross multiply
    125,544x = 192,324 × 192,324
  4. Step 4: Simplify right side
    125,544x = 36,988,520,976
  5. Step 5: Solve for x
    x = 36,988,520,976/125,544
  6. Step 6: Final answer
    x = 294,625.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.