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Finding the Third Proportional to 55,328 and 121,456

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Solution

The third proportional to 55,328 and 121,456 is: 266,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,328 : 121,456 = 121,456 : x
  2. Step 2: Convert to fraction form
    55,328/121,456 = 121,456/x
  3. Step 3: Cross multiply
    55,328x = 121,456 × 121,456
  4. Step 4: Simplify right side
    55,328x = 14,751,559,936
  5. Step 5: Solve for x
    x = 14,751,559,936/55,328
  6. Step 6: Final answer
    x = 266,620.16

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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.