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Finding the Third Proportional to 63,972 and 135,325

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Solution

The third proportional to 63,972 and 135,325 is: 286,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,972 : 135,325 = 135,325 : x
  2. Step 2: Convert to fraction form
    63,972/135,325 = 135,325/x
  3. Step 3: Cross multiply
    63,972x = 135,325 × 135,325
  4. Step 4: Simplify right side
    63,972x = 18,312,855,625
  5. Step 5: Solve for x
    x = 18,312,855,625/63,972
  6. Step 6: Final answer
    x = 286,263.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.