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Finding the Third Proportional to 34,274 and 75,108

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Solution

The third proportional to 34,274 and 75,108 is: 164,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274 : 75,108 = 75,108 : x
  2. Step 2: Convert to fraction form
    34,274/75,108 = 75,108/x
  3. Step 3: Cross multiply
    34,274x = 75,108 × 75,108
  4. Step 4: Simplify right side
    34,274x = 5,641,211,664
  5. Step 5: Solve for x
    x = 5,641,211,664/34,274
  6. Step 6: Final answer
    x = 164,591.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.