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Finding the Third Proportional to 125,928 and 196,506

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Solution

The third proportional to 125,928 and 196,506 is: 306,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928 : 196,506 = 196,506 : x
  2. Step 2: Convert to fraction form
    125,928/196,506 = 196,506/x
  3. Step 3: Cross multiply
    125,928x = 196,506 × 196,506
  4. Step 4: Simplify right side
    125,928x = 38,614,608,036
  5. Step 5: Solve for x
    x = 38,614,608,036/125,928
  6. Step 6: Final answer
    x = 306,640.37

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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.