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Finding the Third Proportional to 65,022 and 141,951

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Solution

The third proportional to 65,022 and 141,951 is: 309,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022 : 141,951 = 141,951 : x
  2. Step 2: Convert to fraction form
    65,022/141,951 = 141,951/x
  3. Step 3: Cross multiply
    65,022x = 141,951 × 141,951
  4. Step 4: Simplify right side
    65,022x = 20,150,086,401
  5. Step 5: Solve for x
    x = 20,150,086,401/65,022
  6. Step 6: Final answer
    x = 309,896.44

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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.