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Finding the Third Proportional to 55,764 and 122,616

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Solution

The third proportional to 55,764 and 122,616 is: 269,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,764 : 122,616 = 122,616 : x
  2. Step 2: Convert to fraction form
    55,764/122,616 = 122,616/x
  3. Step 3: Cross multiply
    55,764x = 122,616 × 122,616
  4. Step 4: Simplify right side
    55,764x = 15,034,683,456
  5. Step 5: Solve for x
    x = 15,034,683,456/55,764
  6. Step 6: Final answer
    x = 269,612.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.