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Finding the Third Proportional to 125,936 and 196,558

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Solution

The third proportional to 125,936 and 196,558 is: 306,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,936 : 196,558 = 196,558 : x
  2. Step 2: Convert to fraction form
    125,936/196,558 = 196,558/x
  3. Step 3: Cross multiply
    125,936x = 196,558 × 196,558
  4. Step 4: Simplify right side
    125,936x = 38,635,047,364
  5. Step 5: Solve for x
    x = 38,635,047,364/125,936
  6. Step 6: Final answer
    x = 306,783.19

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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.