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Finding the Third Proportional to 119,915 and 173,242

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Solution

The third proportional to 119,915 and 173,242 is: 250,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,915 : 173,242 = 173,242 : x
  2. Step 2: Convert to fraction form
    119,915/173,242 = 173,242/x
  3. Step 3: Cross multiply
    119,915x = 173,242 × 173,242
  4. Step 4: Simplify right side
    119,915x = 30,012,790,564
  5. Step 5: Solve for x
    x = 30,012,790,564/119,915
  6. Step 6: Final answer
    x = 250,283.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.