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Finding the Third Proportional to 56,330 and 123,676

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Solution

The third proportional to 56,330 and 123,676 is: 271,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,330 : 123,676 = 123,676 : x
  2. Step 2: Convert to fraction form
    56,330/123,676 = 123,676/x
  3. Step 3: Cross multiply
    56,330x = 123,676 × 123,676
  4. Step 4: Simplify right side
    56,330x = 15,295,752,976
  5. Step 5: Solve for x
    x = 15,295,752,976/56,330
  6. Step 6: Final answer
    x = 271,538.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.