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Finding the Third Proportional to 71,676 and 167,376

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Solution

The third proportional to 71,676 and 167,376 is: 390,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 167,376 = 167,376 : x
  2. Step 2: Convert to fraction form
    71,676/167,376 = 167,376/x
  3. Step 3: Cross multiply
    71,676x = 167,376 × 167,376
  4. Step 4: Simplify right side
    71,676x = 28,014,725,376
  5. Step 5: Solve for x
    x = 28,014,725,376/71,676
  6. Step 6: Final answer
    x = 390,852.24

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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.