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Finding the Third Proportional to 135,115.50 and 287,727

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Solution

The third proportional to 135,115.50 and 287,727 is: 612,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,115.50 : 287,727 = 287,727 : x
  2. Step 2: Convert to fraction form
    135,115.50/287,727 = 287,727/x
  3. Step 3: Cross multiply
    135,115.50x = 287,727 × 287,727
  4. Step 4: Simplify right side
    135,115.50x = 82,786,826,529
  5. Step 5: Solve for x
    x = 82,786,826,529/135,115.50
  6. Step 6: Final answer
    x = 612,711.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.