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Finding the Third Proportional to 129,472 and 196,910

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Solution

The third proportional to 129,472 and 196,910 is: 299,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472 : 196,910 = 196,910 : x
  2. Step 2: Convert to fraction form
    129,472/196,910 = 196,910/x
  3. Step 3: Cross multiply
    129,472x = 196,910 × 196,910
  4. Step 4: Simplify right side
    129,472x = 38,773,548,100
  5. Step 5: Solve for x
    x = 38,773,548,100/129,472
  6. Step 6: Final answer
    x = 299,474.39

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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.