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Finding the Third Proportional to 129,173 and 196,494

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Solution

The third proportional to 129,173 and 196,494 is: 298,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,173 : 196,494 = 196,494 : x
  2. Step 2: Convert to fraction form
    129,173/196,494 = 196,494/x
  3. Step 3: Cross multiply
    129,173x = 196,494 × 196,494
  4. Step 4: Simplify right side
    129,173x = 38,609,892,036
  5. Step 5: Solve for x
    x = 38,609,892,036/129,173
  6. Step 6: Final answer
    x = 298,900.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.