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Finding the Third Proportional to 71,584.50 and 154,164

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Solution

The third proportional to 71,584.50 and 154,164 is: 332,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,584.50 : 154,164 = 154,164 : x
  2. Step 2: Convert to fraction form
    71,584.50/154,164 = 154,164/x
  3. Step 3: Cross multiply
    71,584.50x = 154,164 × 154,164
  4. Step 4: Simplify right side
    71,584.50x = 23,766,538,896
  5. Step 5: Solve for x
    x = 23,766,538,896/71,584.50
  6. Step 6: Final answer
    x = 332,006.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.