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Finding the Third Proportional to 89,569.13 and 135,361.69

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Solution

The third proportional to 89,569.13 and 135,361.69 is: 204,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,569.13 : 135,361.69 = 135,361.69 : x
  2. Step 2: Convert to fraction form
    89,569.13/135,361.69 = 135,361.69/x
  3. Step 3: Cross multiply
    89,569.13x = 135,361.69 × 135,361.69
  4. Step 4: Simplify right side
    89,569.13x = 18,322,786,442.85
  5. Step 5: Solve for x
    x = 18,322,786,442.85/89,569.13
  6. Step 6: Final answer
    x = 204,565.88

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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.