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Finding the Third Proportional to 89,299 and 135,097

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Solution

The third proportional to 89,299 and 135,097 is: 204,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,299 : 135,097 = 135,097 : x
  2. Step 2: Convert to fraction form
    89,299/135,097 = 135,097/x
  3. Step 3: Cross multiply
    89,299x = 135,097 × 135,097
  4. Step 4: Simplify right side
    89,299x = 18,251,199,409
  5. Step 5: Solve for x
    x = 18,251,199,409/89,299
  6. Step 6: Final answer
    x = 204,383.02

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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.