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Finding the Third Proportional to 63,903 and 136,002

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Solution

The third proportional to 63,903 and 136,002 is: 289,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,903 : 136,002 = 136,002 : x
  2. Step 2: Convert to fraction form
    63,903/136,002 = 136,002/x
  3. Step 3: Cross multiply
    63,903x = 136,002 × 136,002
  4. Step 4: Simplify right side
    63,903x = 18,496,544,004
  5. Step 5: Solve for x
    x = 18,496,544,004/63,903
  6. Step 6: Final answer
    x = 289,447.19

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