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Finding the Third Proportional to 56,763 and 123,350

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Solution

The third proportional to 56,763 and 123,350 is: 268,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,763 : 123,350 = 123,350 : x
  2. Step 2: Convert to fraction form
    56,763/123,350 = 123,350/x
  3. Step 3: Cross multiply
    56,763x = 123,350 × 123,350
  4. Step 4: Simplify right side
    56,763x = 15,215,222,500
  5. Step 5: Solve for x
    x = 15,215,222,500/56,763
  6. Step 6: Final answer
    x = 268,048.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.