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Finding the Third Proportional to 110,969 and 173,892

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Solution

The third proportional to 110,969 and 173,892 is: 272,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,969 : 173,892 = 173,892 : x
  2. Step 2: Convert to fraction form
    110,969/173,892 = 173,892/x
  3. Step 3: Cross multiply
    110,969x = 173,892 × 173,892
  4. Step 4: Simplify right side
    110,969x = 30,238,427,664
  5. Step 5: Solve for x
    x = 30,238,427,664/110,969
  6. Step 6: Final answer
    x = 272,494.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.