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Finding the Third Proportional to 120,108 and 173,956.50

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Solution

The third proportional to 120,108 and 173,956.50 is: 251,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,108 : 173,956.50 = 173,956.50 : x
  2. Step 2: Convert to fraction form
    120,108/173,956.50 = 173,956.50/x
  3. Step 3: Cross multiply
    120,108x = 173,956.50 × 173,956.50
  4. Step 4: Simplify right side
    120,108x = 30,260,863,892.25
  5. Step 5: Solve for x
    x = 30,260,863,892.25/120,108
  6. Step 6: Final answer
    x = 251,947.11

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