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Finding the Third Proportional to 135,100 and 202,722

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Solution

The third proportional to 135,100 and 202,722 is: 304,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,100 : 202,722 = 202,722 : x
  2. Step 2: Convert to fraction form
    135,100/202,722 = 202,722/x
  3. Step 3: Cross multiply
    135,100x = 202,722 × 202,722
  4. Step 4: Simplify right side
    135,100x = 41,096,209,284
  5. Step 5: Solve for x
    x = 41,096,209,284/135,100
  6. Step 6: Final answer
    x = 304,191.04

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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.