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Finding the Third Proportional to 34,361 and 75,283

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Solution

The third proportional to 34,361 and 75,283 is: 164,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361 : 75,283 = 75,283 : x
  2. Step 2: Convert to fraction form
    34,361/75,283 = 75,283/x
  3. Step 3: Cross multiply
    34,361x = 75,283 × 75,283
  4. Step 4: Simplify right side
    34,361x = 5,667,530,089
  5. Step 5: Solve for x
    x = 5,667,530,089/34,361
  6. Step 6: Final answer
    x = 164,940.78

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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.