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Finding the Third Proportional to 56,945 and 124,616

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Solution

The third proportional to 56,945 and 124,616 is: 272,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945 : 124,616 = 124,616 : x
  2. Step 2: Convert to fraction form
    56,945/124,616 = 124,616/x
  3. Step 3: Cross multiply
    56,945x = 124,616 × 124,616
  4. Step 4: Simplify right side
    56,945x = 15,529,147,456
  5. Step 5: Solve for x
    x = 15,529,147,456/56,945
  6. Step 6: Final answer
    x = 272,704.32

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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.