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Finding the Third Proportional to 63,467 and 135,085

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Solution

The third proportional to 63,467 and 135,085 is: 287,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,467 : 135,085 = 135,085 : x
  2. Step 2: Convert to fraction form
    63,467/135,085 = 135,085/x
  3. Step 3: Cross multiply
    63,467x = 135,085 × 135,085
  4. Step 4: Simplify right side
    63,467x = 18,247,957,225
  5. Step 5: Solve for x
    x = 18,247,957,225/63,467
  6. Step 6: Final answer
    x = 287,518.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.