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Finding the Third Proportional to 56,847 and 122,742

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Solution

The third proportional to 56,847 and 122,742 is: 265,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,847 : 122,742 = 122,742 : x
  2. Step 2: Convert to fraction form
    56,847/122,742 = 122,742/x
  3. Step 3: Cross multiply
    56,847x = 122,742 × 122,742
  4. Step 4: Simplify right side
    56,847x = 15,065,598,564
  5. Step 5: Solve for x
    x = 15,065,598,564/56,847
  6. Step 6: Final answer
    x = 265,020.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.