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Finding the Third Proportional to 120,193 and 174,088

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Solution

The third proportional to 120,193 and 174,088 is: 252,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193 : 174,088 = 174,088 : x
  2. Step 2: Convert to fraction form
    120,193/174,088 = 174,088/x
  3. Step 3: Cross multiply
    120,193x = 174,088 × 174,088
  4. Step 4: Simplify right side
    120,193x = 30,306,631,744
  5. Step 5: Solve for x
    x = 30,306,631,744/120,193
  6. Step 6: Final answer
    x = 252,149.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.