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Finding the Third Proportional to 129,954.50 and 195,892

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Solution

The third proportional to 129,954.50 and 195,892 is: 295,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954.50 : 195,892 = 195,892 : x
  2. Step 2: Convert to fraction form
    129,954.50/195,892 = 195,892/x
  3. Step 3: Cross multiply
    129,954.50x = 195,892 × 195,892
  4. Step 4: Simplify right side
    129,954.50x = 38,373,675,664
  5. Step 5: Solve for x
    x = 38,373,675,664/129,954.50
  6. Step 6: Final answer
    x = 295,285.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.