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Finding the Third Proportional to 89,815.50 and 134,725.50

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Solution

The third proportional to 89,815.50 and 134,725.50 is: 202,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,815.50 : 134,725.50 = 134,725.50 : x
  2. Step 2: Convert to fraction form
    89,815.50/134,725.50 = 134,725.50/x
  3. Step 3: Cross multiply
    89,815.50x = 134,725.50 × 134,725.50
  4. Step 4: Simplify right side
    89,815.50x = 18,150,960,350.25
  5. Step 5: Solve for x
    x = 18,150,960,350.25/89,815.50
  6. Step 6: Final answer
    x = 202,091.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.