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Finding the Third Proportional to 56,214 and 122,796

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Solution

The third proportional to 56,214 and 122,796 is: 268,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214 : 122,796 = 122,796 : x
  2. Step 2: Convert to fraction form
    56,214/122,796 = 122,796/x
  3. Step 3: Cross multiply
    56,214x = 122,796 × 122,796
  4. Step 4: Simplify right side
    56,214x = 15,078,857,616
  5. Step 5: Solve for x
    x = 15,078,857,616/56,214
  6. Step 6: Final answer
    x = 268,240.25

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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.