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Finding the Third Proportional to 94,146 and 144,225

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Solution

The third proportional to 94,146 and 144,225 is: 220,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,146 : 144,225 = 144,225 : x
  2. Step 2: Convert to fraction form
    94,146/144,225 = 144,225/x
  3. Step 3: Cross multiply
    94,146x = 144,225 × 144,225
  4. Step 4: Simplify right side
    94,146x = 20,800,850,625
  5. Step 5: Solve for x
    x = 20,800,850,625/94,146
  6. Step 6: Final answer
    x = 220,942.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.