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Finding the Third Proportional to 56,751 and 123,504

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Solution

The third proportional to 56,751 and 123,504 is: 268,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,751 : 123,504 = 123,504 : x
  2. Step 2: Convert to fraction form
    56,751/123,504 = 123,504/x
  3. Step 3: Cross multiply
    56,751x = 123,504 × 123,504
  4. Step 4: Simplify right side
    56,751x = 15,253,238,016
  5. Step 5: Solve for x
    x = 15,253,238,016/56,751
  6. Step 6: Final answer
    x = 268,774.79

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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.