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Finding the Third Proportional to 135,782 and 195,573

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Solution

The third proportional to 135,782 and 195,573 is: 281,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782 : 195,573 = 195,573 : x
  2. Step 2: Convert to fraction form
    135,782/195,573 = 195,573/x
  3. Step 3: Cross multiply
    135,782x = 195,573 × 195,573
  4. Step 4: Simplify right side
    135,782x = 38,248,798,329
  5. Step 5: Solve for x
    x = 38,248,798,329/135,782
  6. Step 6: Final answer
    x = 281,692.70

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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.