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Finding the Third Proportional to 71,570 and 164,873

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Solution

The third proportional to 71,570 and 164,873 is: 379,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 164,873 = 164,873 : x
  2. Step 2: Convert to fraction form
    71,570/164,873 = 164,873/x
  3. Step 3: Cross multiply
    71,570x = 164,873 × 164,873
  4. Step 4: Simplify right side
    71,570x = 27,183,106,129
  5. Step 5: Solve for x
    x = 27,183,106,129/71,570
  6. Step 6: Final answer
    x = 379,811.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.