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Finding the Third Proportional to 109,923.75 and 165,147.19

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Solution

The third proportional to 109,923.75 and 165,147.19 is: 248,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,923.75 : 165,147.19 = 165,147.19 : x
  2. Step 2: Convert to fraction form
    109,923.75/165,147.19 = 165,147.19/x
  3. Step 3: Cross multiply
    109,923.75x = 165,147.19 × 165,147.19
  4. Step 4: Simplify right side
    109,923.75x = 27,273,593,539.16
  5. Step 5: Solve for x
    x = 27,273,593,539.16/109,923.75
  6. Step 6: Final answer
    x = 248,113.75

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Why These Related Problems?

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