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Finding the Third Proportional to 110,020.50 and 165,273.75

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Solution

The third proportional to 110,020.50 and 165,273.75 is: 248,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,020.50 : 165,273.75 = 165,273.75 : x
  2. Step 2: Convert to fraction form
    110,020.50/165,273.75 = 165,273.75/x
  3. Step 3: Cross multiply
    110,020.50x = 165,273.75 × 165,273.75
  4. Step 4: Simplify right side
    110,020.50x = 27,315,412,439.06
  5. Step 5: Solve for x
    x = 27,315,412,439.06/110,020.50
  6. Step 6: Final answer
    x = 248,275.66

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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.