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Finding the Third Proportional to 52,038 and 111,975

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Solution

The third proportional to 52,038 and 111,975 is: 240,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 111,975 = 111,975 : x
  2. Step 2: Convert to fraction form
    52,038/111,975 = 111,975/x
  3. Step 3: Cross multiply
    52,038x = 111,975 × 111,975
  4. Step 4: Simplify right side
    52,038x = 12,538,400,625
  5. Step 5: Solve for x
    x = 12,538,400,625/52,038
  6. Step 6: Final answer
    x = 240,947.01

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