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Finding the Third Proportional to 54,693 and 113,181.75

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Solution

The third proportional to 54,693 and 113,181.75 is: 234,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693 : 113,181.75 = 113,181.75 : x
  2. Step 2: Convert to fraction form
    54,693/113,181.75 = 113,181.75/x
  3. Step 3: Cross multiply
    54,693x = 113,181.75 × 113,181.75
  4. Step 4: Simplify right side
    54,693x = 12,810,108,533.06
  5. Step 5: Solve for x
    x = 12,810,108,533.06/54,693
  6. Step 6: Final answer
    x = 234,218.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.