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Finding the Third Proportional to 34,186 and 71,828

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Solution

The third proportional to 34,186 and 71,828 is: 150,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186 : 71,828 = 71,828 : x
  2. Step 2: Convert to fraction form
    34,186/71,828 = 71,828/x
  3. Step 3: Cross multiply
    34,186x = 71,828 × 71,828
  4. Step 4: Simplify right side
    34,186x = 5,159,261,584
  5. Step 5: Solve for x
    x = 5,159,261,584/34,186
  6. Step 6: Final answer
    x = 150,917.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.