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Finding the Third Proportional to 71,095 and 164,588

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Solution

The third proportional to 71,095 and 164,588 is: 381,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,095 : 164,588 = 164,588 : x
  2. Step 2: Convert to fraction form
    71,095/164,588 = 164,588/x
  3. Step 3: Cross multiply
    71,095x = 164,588 × 164,588
  4. Step 4: Simplify right side
    71,095x = 27,089,209,744
  5. Step 5: Solve for x
    x = 27,089,209,744/71,095
  6. Step 6: Final answer
    x = 381,028.34

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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.