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Finding the Third Proportional to 111,908 and 173,535

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Solution

The third proportional to 111,908 and 173,535 is: 269,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,908 : 173,535 = 173,535 : x
  2. Step 2: Convert to fraction form
    111,908/173,535 = 173,535/x
  3. Step 3: Cross multiply
    111,908x = 173,535 × 173,535
  4. Step 4: Simplify right side
    111,908x = 30,114,396,225
  5. Step 5: Solve for x
    x = 30,114,396,225/111,908
  6. Step 6: Final answer
    x = 269,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.