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Finding the Third Proportional to 125,978 and 192,629

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Solution

The third proportional to 125,978 and 192,629 is: 294,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,978 : 192,629 = 192,629 : x
  2. Step 2: Convert to fraction form
    125,978/192,629 = 192,629/x
  3. Step 3: Cross multiply
    125,978x = 192,629 × 192,629
  4. Step 4: Simplify right side
    125,978x = 37,105,931,641
  5. Step 5: Solve for x
    x = 37,105,931,641/125,978
  6. Step 6: Final answer
    x = 294,542.95

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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.