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Finding the Third Proportional to 55,824 and 121,344

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Solution

The third proportional to 55,824 and 121,344 is: 263,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,824 : 121,344 = 121,344 : x
  2. Step 2: Convert to fraction form
    55,824/121,344 = 121,344/x
  3. Step 3: Cross multiply
    55,824x = 121,344 × 121,344
  4. Step 4: Simplify right side
    55,824x = 14,724,366,336
  5. Step 5: Solve for x
    x = 14,724,366,336/55,824
  6. Step 6: Final answer
    x = 263,764.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.