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Finding the Third Proportional to 52,032 and 111,954

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Solution

The third proportional to 52,032 and 111,954 is: 240,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032 : 111,954 = 111,954 : x
  2. Step 2: Convert to fraction form
    52,032/111,954 = 111,954/x
  3. Step 3: Cross multiply
    52,032x = 111,954 × 111,954
  4. Step 4: Simplify right side
    52,032x = 12,533,698,116
  5. Step 5: Solve for x
    x = 12,533,698,116/52,032
  6. Step 6: Final answer
    x = 240,884.42

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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.