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Finding the Third Proportional to 71,138.25 and 164,693.25

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Solution

The third proportional to 71,138.25 and 164,693.25 is: 381,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.25 : 164,693.25 = 164,693.25 : x
  2. Step 2: Convert to fraction form
    71,138.25/164,693.25 = 164,693.25/x
  3. Step 3: Cross multiply
    71,138.25x = 164,693.25 × 164,693.25
  4. Step 4: Simplify right side
    71,138.25x = 27,123,866,595.56
  5. Step 5: Solve for x
    x = 27,123,866,595.56/71,138.25
  6. Step 6: Final answer
    x = 381,283.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.