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Finding the Third Proportional to 71,768 and 167,629

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Solution

The third proportional to 71,768 and 167,629 is: 391,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768 : 167,629 = 167,629 : x
  2. Step 2: Convert to fraction form
    71,768/167,629 = 167,629/x
  3. Step 3: Cross multiply
    71,768x = 167,629 × 167,629
  4. Step 4: Simplify right side
    71,768x = 28,099,481,641
  5. Step 5: Solve for x
    x = 28,099,481,641/71,768
  6. Step 6: Final answer
    x = 391,532.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.