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Finding the Third Proportional to 56,405 and 123,966

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Solution

The third proportional to 56,405 and 123,966 is: 272,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405 : 123,966 = 123,966 : x
  2. Step 2: Convert to fraction form
    56,405/123,966 = 123,966/x
  3. Step 3: Cross multiply
    56,405x = 123,966 × 123,966
  4. Step 4: Simplify right side
    56,405x = 15,367,569,156
  5. Step 5: Solve for x
    x = 15,367,569,156/56,405
  6. Step 6: Final answer
    x = 272,450.48

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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.