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Finding the Third Proportional to 56,934 and 124,767

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Solution

The third proportional to 56,934 and 124,767 is: 273,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934 : 124,767 = 124,767 : x
  2. Step 2: Convert to fraction form
    56,934/124,767 = 124,767/x
  3. Step 3: Cross multiply
    56,934x = 124,767 × 124,767
  4. Step 4: Simplify right side
    56,934x = 15,566,804,289
  5. Step 5: Solve for x
    x = 15,566,804,289/56,934
  6. Step 6: Final answer
    x = 273,418.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.