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Finding the Third Proportional to 125,960 and 196,592

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Solution

The third proportional to 125,960 and 196,592 is: 306,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,960 : 196,592 = 196,592 : x
  2. Step 2: Convert to fraction form
    125,960/196,592 = 196,592/x
  3. Step 3: Cross multiply
    125,960x = 196,592 × 196,592
  4. Step 4: Simplify right side
    125,960x = 38,648,414,464
  5. Step 5: Solve for x
    x = 38,648,414,464/125,960
  6. Step 6: Final answer
    x = 306,830.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.