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Finding the Third Proportional to 55,137 and 116,745

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Solution

The third proportional to 55,137 and 116,745 is: 247,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137 : 116,745 = 116,745 : x
  2. Step 2: Convert to fraction form
    55,137/116,745 = 116,745/x
  3. Step 3: Cross multiply
    55,137x = 116,745 × 116,745
  4. Step 4: Simplify right side
    55,137x = 13,629,395,025
  5. Step 5: Solve for x
    x = 13,629,395,025/55,137
  6. Step 6: Final answer
    x = 247,191.45

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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.