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Finding the Third Proportional to 110,020.50 and 165,273

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Solution

The third proportional to 110,020.50 and 165,273 is: 248,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,020.50 : 165,273 = 165,273 : x
  2. Step 2: Convert to fraction form
    110,020.50/165,273 = 165,273/x
  3. Step 3: Cross multiply
    110,020.50x = 165,273 × 165,273
  4. Step 4: Simplify right side
    110,020.50x = 27,315,164,529
  5. Step 5: Solve for x
    x = 27,315,164,529/110,020.50
  6. Step 6: Final answer
    x = 248,273.41

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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.