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Finding the Third Proportional to 63,401 and 94,903

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Solution

The third proportional to 63,401 and 94,903 is: 142,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,401 : 94,903 = 94,903 : x
  2. Step 2: Convert to fraction form
    63,401/94,903 = 94,903/x
  3. Step 3: Cross multiply
    63,401x = 94,903 × 94,903
  4. Step 4: Simplify right side
    63,401x = 9,006,579,409
  5. Step 5: Solve for x
    x = 9,006,579,409/63,401
  6. Step 6: Final answer
    x = 142,057.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.