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Finding the Third Proportional to 56,616 and 117,879

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Solution

The third proportional to 56,616 and 117,879 is: 245,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,616 : 117,879 = 117,879 : x
  2. Step 2: Convert to fraction form
    56,616/117,879 = 117,879/x
  3. Step 3: Cross multiply
    56,616x = 117,879 × 117,879
  4. Step 4: Simplify right side
    56,616x = 13,895,458,641
  5. Step 5: Solve for x
    x = 13,895,458,641/56,616
  6. Step 6: Final answer
    x = 245,433.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.