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Finding the Third Proportional to 56,182 and 123,662

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Solution

The third proportional to 56,182 and 123,662 is: 272,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,182 : 123,662 = 123,662 : x
  2. Step 2: Convert to fraction form
    56,182/123,662 = 123,662/x
  3. Step 3: Cross multiply
    56,182x = 123,662 × 123,662
  4. Step 4: Simplify right side
    56,182x = 15,292,290,244
  5. Step 5: Solve for x
    x = 15,292,290,244/56,182
  6. Step 6: Final answer
    x = 272,191.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.