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Finding the Third Proportional to 23,168 and 56,000

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Solution

The third proportional to 23,168 and 56,000 is: 135,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168 : 56,000 = 56,000 : x
  2. Step 2: Convert to fraction form
    23,168/56,000 = 56,000/x
  3. Step 3: Cross multiply
    23,168x = 56,000 × 56,000
  4. Step 4: Simplify right side
    23,168x = 3,136,000,000
  5. Step 5: Solve for x
    x = 3,136,000,000/23,168
  6. Step 6: Final answer
    x = 135,359.12

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.