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Finding the Third Proportional to 94,195 and 141,503

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Solution

The third proportional to 94,195 and 141,503 is: 212,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,195 : 141,503 = 141,503 : x
  2. Step 2: Convert to fraction form
    94,195/141,503 = 141,503/x
  3. Step 3: Cross multiply
    94,195x = 141,503 × 141,503
  4. Step 4: Simplify right side
    94,195x = 20,023,099,009
  5. Step 5: Solve for x
    x = 20,023,099,009/94,195
  6. Step 6: Final answer
    x = 212,570.72

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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.