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Finding the Third Proportional to 89,302 and 135,100

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Solution

The third proportional to 89,302 and 135,100 is: 204,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,302 : 135,100 = 135,100 : x
  2. Step 2: Convert to fraction form
    89,302/135,100 = 135,100/x
  3. Step 3: Cross multiply
    89,302x = 135,100 × 135,100
  4. Step 4: Simplify right side
    89,302x = 18,252,010,000
  5. Step 5: Solve for x
    x = 18,252,010,000/89,302
  6. Step 6: Final answer
    x = 204,385.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.