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Finding the Third Proportional to 63,105 and 134,965

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Solution

The third proportional to 63,105 and 134,965 is: 288,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,105 : 134,965 = 134,965 : x
  2. Step 2: Convert to fraction form
    63,105/134,965 = 134,965/x
  3. Step 3: Cross multiply
    63,105x = 134,965 × 134,965
  4. Step 4: Simplify right side
    63,105x = 18,215,551,225
  5. Step 5: Solve for x
    x = 18,215,551,225/63,105
  6. Step 6: Final answer
    x = 288,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.