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Finding the Third Proportional to 70,682 and 103,903

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Solution

The third proportional to 70,682 and 103,903 is: 152,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682 : 103,903 = 103,903 : x
  2. Step 2: Convert to fraction form
    70,682/103,903 = 103,903/x
  3. Step 3: Cross multiply
    70,682x = 103,903 × 103,903
  4. Step 4: Simplify right side
    70,682x = 10,795,833,409
  5. Step 5: Solve for x
    x = 10,795,833,409/70,682
  6. Step 6: Final answer
    x = 152,738.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.