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Finding the Third Proportional to 55,321 and 117,177

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Solution

The third proportional to 55,321 and 117,177 is: 248,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321 : 117,177 = 117,177 : x
  2. Step 2: Convert to fraction form
    55,321/117,177 = 117,177/x
  3. Step 3: Cross multiply
    55,321x = 117,177 × 117,177
  4. Step 4: Simplify right side
    55,321x = 13,730,449,329
  5. Step 5: Solve for x
    x = 13,730,449,329/55,321
  6. Step 6: Final answer
    x = 248,195.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.