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Finding the Third Proportional to 75,072.50 and 164,910.25

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Solution

The third proportional to 75,072.50 and 164,910.25 is: 362,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072.50 : 164,910.25 = 164,910.25 : x
  2. Step 2: Convert to fraction form
    75,072.50/164,910.25 = 164,910.25/x
  3. Step 3: Cross multiply
    75,072.50x = 164,910.25 × 164,910.25
  4. Step 4: Simplify right side
    75,072.50x = 27,195,390,555.06
  5. Step 5: Solve for x
    x = 27,195,390,555.06/75,072.50
  6. Step 6: Final answer
    x = 362,255.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.