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Finding the Third Proportional to 71,093 and 164,584

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Solution

The third proportional to 71,093 and 164,584 is: 381,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,093 : 164,584 = 164,584 : x
  2. Step 2: Convert to fraction form
    71,093/164,584 = 164,584/x
  3. Step 3: Cross multiply
    71,093x = 164,584 × 164,584
  4. Step 4: Simplify right side
    71,093x = 27,087,893,056
  5. Step 5: Solve for x
    x = 27,087,893,056/71,093
  6. Step 6: Final answer
    x = 381,020.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.