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Finding the Third Proportional to 30,903 and 67,503

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Solution

The third proportional to 30,903 and 67,503 is: 147,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903 : 67,503 = 67,503 : x
  2. Step 2: Convert to fraction form
    30,903/67,503 = 67,503/x
  3. Step 3: Cross multiply
    30,903x = 67,503 × 67,503
  4. Step 4: Simplify right side
    30,903x = 4,556,655,009
  5. Step 5: Solve for x
    x = 4,556,655,009/30,903
  6. Step 6: Final answer
    x = 147,450.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.