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Finding the Third Proportional to 109,388.25 and 164,085

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Solution

The third proportional to 109,388.25 and 164,085 is: 246,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,388.25 : 164,085 = 164,085 : x
  2. Step 2: Convert to fraction form
    109,388.25/164,085 = 164,085/x
  3. Step 3: Cross multiply
    109,388.25x = 164,085 × 164,085
  4. Step 4: Simplify right side
    109,388.25x = 26,923,887,225
  5. Step 5: Solve for x
    x = 26,923,887,225/109,388.25
  6. Step 6: Final answer
    x = 246,131.44

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