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Finding the Third Proportional to 107,095.50 and 159,474

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Solution

The third proportional to 107,095.50 and 159,474 is: 237,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,095.50 : 159,474 = 159,474 : x
  2. Step 2: Convert to fraction form
    107,095.50/159,474 = 159,474/x
  3. Step 3: Cross multiply
    107,095.50x = 159,474 × 159,474
  4. Step 4: Simplify right side
    107,095.50x = 25,431,956,676
  5. Step 5: Solve for x
    x = 25,431,956,676/107,095.50
  6. Step 6: Final answer
    x = 237,469.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.