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Finding the Third Proportional to 58,568 and 128,800

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Solution

The third proportional to 58,568 and 128,800 is: 283,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,568 : 128,800 = 128,800 : x
  2. Step 2: Convert to fraction form
    58,568/128,800 = 128,800/x
  3. Step 3: Cross multiply
    58,568x = 128,800 × 128,800
  4. Step 4: Simplify right side
    58,568x = 16,589,440,000
  5. Step 5: Solve for x
    x = 16,589,440,000/58,568
  6. Step 6: Final answer
    x = 283,250.92

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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.