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Finding the Third Proportional to 123,624 and 186,012

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Solution

The third proportional to 123,624 and 186,012 is: 279,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,624 : 186,012 = 186,012 : x
  2. Step 2: Convert to fraction form
    123,624/186,012 = 186,012/x
  3. Step 3: Cross multiply
    123,624x = 186,012 × 186,012
  4. Step 4: Simplify right side
    123,624x = 34,600,464,144
  5. Step 5: Solve for x
    x = 34,600,464,144/123,624
  6. Step 6: Final answer
    x = 279,884.68

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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.