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Finding the Third Proportional to 109,896.75 and 164,814.75

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Solution

The third proportional to 109,896.75 and 164,814.75 is: 247,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.75 : 164,814.75 = 164,814.75 : x
  2. Step 2: Convert to fraction form
    109,896.75/164,814.75 = 164,814.75/x
  3. Step 3: Cross multiply
    109,896.75x = 164,814.75 × 164,814.75
  4. Step 4: Simplify right side
    109,896.75x = 27,163,901,817.56
  5. Step 5: Solve for x
    x = 27,163,901,817.56/109,896.75
  6. Step 6: Final answer
    x = 247,176.57

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Why These Related Problems?

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