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Finding the Third Proportional to 54,410 and 117,116

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Solution

The third proportional to 54,410 and 117,116 is: 252,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410 : 117,116 = 117,116 : x
  2. Step 2: Convert to fraction form
    54,410/117,116 = 117,116/x
  3. Step 3: Cross multiply
    54,410x = 117,116 × 117,116
  4. Step 4: Simplify right side
    54,410x = 13,716,157,456
  5. Step 5: Solve for x
    x = 13,716,157,456/54,410
  6. Step 6: Final answer
    x = 252,088.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.