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Finding the Third Proportional to 125,376 and 192,036

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Solution

The third proportional to 125,376 and 192,036 is: 294,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,376 : 192,036 = 192,036 : x
  2. Step 2: Convert to fraction form
    125,376/192,036 = 192,036/x
  3. Step 3: Cross multiply
    125,376x = 192,036 × 192,036
  4. Step 4: Simplify right side
    125,376x = 36,877,825,296
  5. Step 5: Solve for x
    x = 36,877,825,296/125,376
  6. Step 6: Final answer
    x = 294,137.84

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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.