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Finding the Third Proportional to 52,110 and 109,962

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Solution

The third proportional to 52,110 and 109,962 is: 232,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 109,962 = 109,962 : x
  2. Step 2: Convert to fraction form
    52,110/109,962 = 109,962/x
  3. Step 3: Cross multiply
    52,110x = 109,962 × 109,962
  4. Step 4: Simplify right side
    52,110x = 12,091,641,444
  5. Step 5: Solve for x
    x = 12,091,641,444/52,110
  6. Step 6: Final answer
    x = 232,040.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.