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Finding the Third Proportional to 66,568 and 144,800

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Solution

The third proportional to 66,568 and 144,800 is: 314,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,568 : 144,800 = 144,800 : x
  2. Step 2: Convert to fraction form
    66,568/144,800 = 144,800/x
  3. Step 3: Cross multiply
    66,568x = 144,800 × 144,800
  4. Step 4: Simplify right side
    66,568x = 20,967,040,000
  5. Step 5: Solve for x
    x = 20,967,040,000/66,568
  6. Step 6: Final answer
    x = 314,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.