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Finding the Third Proportional to 56,996 and 123,650

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Solution

The third proportional to 56,996 and 123,650 is: 268,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,996 : 123,650 = 123,650 : x
  2. Step 2: Convert to fraction form
    56,996/123,650 = 123,650/x
  3. Step 3: Cross multiply
    56,996x = 123,650 × 123,650
  4. Step 4: Simplify right side
    56,996x = 15,289,322,500
  5. Step 5: Solve for x
    x = 15,289,322,500/56,996
  6. Step 6: Final answer
    x = 268,252.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.