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Finding the Third Proportional to 71,176 and 164,755

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Solution

The third proportional to 71,176 and 164,755 is: 381,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176 : 164,755 = 164,755 : x
  2. Step 2: Convert to fraction form
    71,176/164,755 = 164,755/x
  3. Step 3: Cross multiply
    71,176x = 164,755 × 164,755
  4. Step 4: Simplify right side
    71,176x = 27,144,210,025
  5. Step 5: Solve for x
    x = 27,144,210,025/71,176
  6. Step 6: Final answer
    x = 381,367.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.