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Finding the Third Proportional to 56,680 and 123,722

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Solution

The third proportional to 56,680 and 123,722 is: 270,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680 : 123,722 = 123,722 : x
  2. Step 2: Convert to fraction form
    56,680/123,722 = 123,722/x
  3. Step 3: Cross multiply
    56,680x = 123,722 × 123,722
  4. Step 4: Simplify right side
    56,680x = 15,307,133,284
  5. Step 5: Solve for x
    x = 15,307,133,284/56,680
  6. Step 6: Final answer
    x = 270,062.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.