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Finding the Third Proportional to 77,676 and 165,520

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Solution

The third proportional to 77,676 and 165,520 is: 352,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676 : 165,520 = 165,520 : x
  2. Step 2: Convert to fraction form
    77,676/165,520 = 165,520/x
  3. Step 3: Cross multiply
    77,676x = 165,520 × 165,520
  4. Step 4: Simplify right side
    77,676x = 27,396,870,400
  5. Step 5: Solve for x
    x = 27,396,870,400/77,676
  6. Step 6: Final answer
    x = 352,707.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.