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Finding the Third Proportional to 63,903 and 134,416

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Solution

The third proportional to 63,903 and 134,416 is: 282,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,903 : 134,416 = 134,416 : x
  2. Step 2: Convert to fraction form
    63,903/134,416 = 134,416/x
  3. Step 3: Cross multiply
    63,903x = 134,416 × 134,416
  4. Step 4: Simplify right side
    63,903x = 18,067,661,056
  5. Step 5: Solve for x
    x = 18,067,661,056/63,903
  6. Step 6: Final answer
    x = 282,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.