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Finding the Third Proportional to 111,609 and 165,262.50

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Solution

The third proportional to 111,609 and 165,262.50 is: 244,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,609 : 165,262.50 = 165,262.50 : x
  2. Step 2: Convert to fraction form
    111,609/165,262.50 = 165,262.50/x
  3. Step 3: Cross multiply
    111,609x = 165,262.50 × 165,262.50
  4. Step 4: Simplify right side
    111,609x = 27,311,693,906.25
  5. Step 5: Solve for x
    x = 27,311,693,906.25/111,609
  6. Step 6: Final answer
    x = 244,708.71

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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.