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Finding the Third Proportional to 109,234.50 and 164,622

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Solution

The third proportional to 109,234.50 and 164,622 is: 248,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,234.50 : 164,622 = 164,622 : x
  2. Step 2: Convert to fraction form
    109,234.50/164,622 = 164,622/x
  3. Step 3: Cross multiply
    109,234.50x = 164,622 × 164,622
  4. Step 4: Simplify right side
    109,234.50x = 27,100,402,884
  5. Step 5: Solve for x
    x = 27,100,402,884/109,234.50
  6. Step 6: Final answer
    x = 248,093.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.