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Finding the Third Proportional to 107,890.50 and 159,744

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Solution

The third proportional to 107,890.50 and 159,744 is: 236,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,890.50 : 159,744 = 159,744 : x
  2. Step 2: Convert to fraction form
    107,890.50/159,744 = 159,744/x
  3. Step 3: Cross multiply
    107,890.50x = 159,744 × 159,744
  4. Step 4: Simplify right side
    107,890.50x = 25,518,145,536
  5. Step 5: Solve for x
    x = 25,518,145,536/107,890.50
  6. Step 6: Final answer
    x = 236,518.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.