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Finding the Third Proportional to 126,034.50 and 195,147

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Solution

The third proportional to 126,034.50 and 195,147 is: 302,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,034.50 : 195,147 = 195,147 : x
  2. Step 2: Convert to fraction form
    126,034.50/195,147 = 195,147/x
  3. Step 3: Cross multiply
    126,034.50x = 195,147 × 195,147
  4. Step 4: Simplify right side
    126,034.50x = 38,082,351,609
  5. Step 5: Solve for x
    x = 38,082,351,609/126,034.50
  6. Step 6: Final answer
    x = 302,158.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.