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Finding the Third Proportional to 63,182 and 135,885

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Solution

The third proportional to 63,182 and 135,885 is: 292,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,182 : 135,885 = 135,885 : x
  2. Step 2: Convert to fraction form
    63,182/135,885 = 135,885/x
  3. Step 3: Cross multiply
    63,182x = 135,885 × 135,885
  4. Step 4: Simplify right side
    63,182x = 18,464,733,225
  5. Step 5: Solve for x
    x = 18,464,733,225/63,182
  6. Step 6: Final answer
    x = 292,246.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.