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Finding the Third Proportional to 55,496 and 122,304

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Solution

The third proportional to 55,496 and 122,304 is: 269,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 122,304 = 122,304 : x
  2. Step 2: Convert to fraction form
    55,496/122,304 = 122,304/x
  3. Step 3: Cross multiply
    55,496x = 122,304 × 122,304
  4. Step 4: Simplify right side
    55,496x = 14,958,268,416
  5. Step 5: Solve for x
    x = 14,958,268,416/55,496
  6. Step 6: Final answer
    x = 269,537.78

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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.