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Finding the Third Proportional to 89,609.63 and 135,105.75

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Solution

The third proportional to 89,609.63 and 135,105.75 is: 203,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,609.63 : 135,105.75 = 135,105.75 : x
  2. Step 2: Convert to fraction form
    89,609.63/135,105.75 = 135,105.75/x
  3. Step 3: Cross multiply
    89,609.63x = 135,105.75 × 135,105.75
  4. Step 4: Simplify right side
    89,609.63x = 18,253,563,683.06
  5. Step 5: Solve for x
    x = 18,253,563,683.06/89,609.63
  6. Step 6: Final answer
    x = 203,700.93

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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.