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Finding the Third Proportional to 125,846 and 196,423

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Solution

The third proportional to 125,846 and 196,423 is: 306,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846 : 196,423 = 196,423 : x
  2. Step 2: Convert to fraction form
    125,846/196,423 = 196,423/x
  3. Step 3: Cross multiply
    125,846x = 196,423 × 196,423
  4. Step 4: Simplify right side
    125,846x = 38,581,994,929
  5. Step 5: Solve for x
    x = 38,581,994,929/125,846
  6. Step 6: Final answer
    x = 306,581.02

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