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Finding the Third Proportional to 116,150 and 173,769

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Solution

The third proportional to 116,150 and 173,769 is: 259,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,150 : 173,769 = 173,769 : x
  2. Step 2: Convert to fraction form
    116,150/173,769 = 173,769/x
  3. Step 3: Cross multiply
    116,150x = 173,769 × 173,769
  4. Step 4: Simplify right side
    116,150x = 30,195,665,361
  5. Step 5: Solve for x
    x = 30,195,665,361/116,150
  6. Step 6: Final answer
    x = 259,971.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.