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Finding the Third Proportional to 129,876.75 and 195,193.13

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Solution

The third proportional to 129,876.75 and 195,193.13 is: 293,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,876.75 : 195,193.13 = 195,193.13 : x
  2. Step 2: Convert to fraction form
    129,876.75/195,193.13 = 195,193.13/x
  3. Step 3: Cross multiply
    129,876.75x = 195,193.13 × 195,193.13
  4. Step 4: Simplify right side
    129,876.75x = 38,100,356,047.27
  5. Step 5: Solve for x
    x = 38,100,356,047.27/129,876.75
  6. Step 6: Final answer
    x = 293,357.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.