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Finding the Third Proportional to 91,333.50 and 136,626

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Solution

The third proportional to 91,333.50 and 136,626 is: 204,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,333.50 : 136,626 = 136,626 : x
  2. Step 2: Convert to fraction form
    91,333.50/136,626 = 136,626/x
  3. Step 3: Cross multiply
    91,333.50x = 136,626 × 136,626
  4. Step 4: Simplify right side
    91,333.50x = 18,666,663,876
  5. Step 5: Solve for x
    x = 18,666,663,876/91,333.50
  6. Step 6: Final answer
    x = 204,379.16

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Why These Related Problems?

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