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Finding the Third Proportional to 71,093 and 164,583.50

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Solution

The third proportional to 71,093 and 164,583.50 is: 381,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,093 : 164,583.50 = 164,583.50 : x
  2. Step 2: Convert to fraction form
    71,093/164,583.50 = 164,583.50/x
  3. Step 3: Cross multiply
    71,093x = 164,583.50 × 164,583.50
  4. Step 4: Simplify right side
    71,093x = 27,087,728,472.25
  5. Step 5: Solve for x
    x = 27,087,728,472.25/71,093
  6. Step 6: Final answer
    x = 381,018.22

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