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Finding the Third Proportional to 54,032 and 116,704

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Solution

The third proportional to 54,032 and 116,704 is: 252,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,032 : 116,704 = 116,704 : x
  2. Step 2: Convert to fraction form
    54,032/116,704 = 116,704/x
  3. Step 3: Cross multiply
    54,032x = 116,704 × 116,704
  4. Step 4: Simplify right side
    54,032x = 13,619,823,616
  5. Step 5: Solve for x
    x = 13,619,823,616/54,032
  6. Step 6: Final answer
    x = 252,069.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.