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Finding the Third Proportional to 65,986 and 146,695

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Solution

The third proportional to 65,986 and 146,695 is: 326,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986 : 146,695 = 146,695 : x
  2. Step 2: Convert to fraction form
    65,986/146,695 = 146,695/x
  3. Step 3: Cross multiply
    65,986x = 146,695 × 146,695
  4. Step 4: Simplify right side
    65,986x = 21,519,423,025
  5. Step 5: Solve for x
    x = 21,519,423,025/65,986
  6. Step 6: Final answer
    x = 326,121.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.