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Finding the Third Proportional to 89,569 and 135,361.50

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Solution

The third proportional to 89,569 and 135,361.50 is: 204,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,569 : 135,361.50 = 135,361.50 : x
  2. Step 2: Convert to fraction form
    89,569/135,361.50 = 135,361.50/x
  3. Step 3: Cross multiply
    89,569x = 135,361.50 × 135,361.50
  4. Step 4: Simplify right side
    89,569x = 18,322,735,682.25
  5. Step 5: Solve for x
    x = 18,322,735,682.25/89,569
  6. Step 6: Final answer
    x = 204,565.59

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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.